How do you write an equation in slope intercept form?

The form y=mx+b means slope m and y-intercept b; similarly, the form y=mx+a means slope m and y-intercept a. The form y=m(x-a) is essentially different from the other two forms, and means slope m and x-intercept (instead of y-intercept) a.

How do you introduce the slope and y-intercept?

The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.

What is the summary of the slope-intercept form?

The slope-intercept form of a line is a way of writing the equation of a line so that the slope of the line and the y-intercept are easily identifiable . The slope is the steepness of the line, and the y-intercept is the place the line crosses the y-axis.

What is the intercept form of the line?

The intercept form of the equation of a line is x/a + y/b = 1 . This is one of the important forms of equations of a line. Also, the sign of the intercepts in this equation helps us to know the location of the line with respect to the coordinate axes.

How to write an equation in fully simplified slope-intercept form?

Slope intercept form reads y = mx + b , where m is the slope (steepness) of the line, and b is the y-intercept, i.e., the value at which the line intersects the vertical axis. For example, y = -2x + 3 . Standard form reads Ax + By + C = 0 , where A, B, C are integers.

Why is the slope-intercept form important?

The slope-intercept form helps understand how slope and y-intercept changes affect a linear relationship's behavior , making it helpful in modelling real-life scenarios like budget planning or sales forecasting.

What are the characteristics of slope-intercept form?

An equation in slope-intercept form of a line includes the slope and the initial value of the function . The initial value, or y-intercept, is the output value when the input of a linear function is zero. It is the y-value of the point where the line crosses the y-axis.

What is the meaning of the intercept form?

The two-intercept form of the equation of a straight line that intersects the X-axis at (𝑎,0) and the Y-axis at (0,𝑏) is. x a + y b = 1. The intercept form allows us to visualize the position of the line and its relationship with the coordinate axes based on the signs of the intercepts .

How do you use intercept form?

To write a quadratic function in intercept form, Find the x-intercepts. ... Find one other point that the graph passes through. ... Substitute the x-intercepts for p and q in intercept form y = a(x – p)(x – q). Substitute the point for x and y. Solve for a. Write the function by substituting p, q, and a into intercept form.

How to figure out slope?

The slope, or steepness, of a line is found by dividing the vertical change (rise) by the horizontal change (run) . The formula is slope =(y₂ - y₁)/(x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the coordinates of two points on the line. Created by Sal Khan and Monterey Institute for Technology and Education.

Which equation is written in slope-intercept form?

The equation, y = mx + b , is the slope-intercept form of a straight line. Here, x and y are the coordinates of the points, m is the gradient, and b is the intercept of the y-axis.

How do you write an equation in slope-intercept form of the trend line?

A trend line indicates a linear relationship. The equation for a linear relationship is y = mx + b , where x is the independent variable, y is the dependent variable, m is the slope of the line, and b is the y-intercept.

How do you write an equation given the slope and a point?

Point-slope form: y-a = m(x-b) . For example, your slope (m) is 3 and your point (a,b) is 9,10. You would substitute your y-coordinate for a, and your x- coordinate for b. Your new equation would look like this: y-10 = 3(x-9).

Slope-intercept form introduction | Algebra (article)

Learn about the slope-intercept form of two-variable linear equations, and how to interpret it to find the slope and y-intercept of their line.

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Patrice Abbee
6 years agoPosted 6 years ago. Direct link to Patrice Abbee's post “What if m=0?”
What if m=0?
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(58 votes)
- Admiral Betasin
  6 years agoPosted 6 years ago. Direct link to Admiral Betasin's post “If the slope is 0, is a h...”
  If the slope is 0, is a horizontal line. It makes sense if you think about it. Each time we increase one x, increase y by 0.
  Comment on Admiral Betasin's post “If the slope is 0, is a h...”
  (154 votes)
faith reinhold
5 years agoPosted 5 years ago. Direct link to faith reinhold's post “how do you find the slope...”
how do you find the slope and intercept on a graph?
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(32 votes)
- Karra Wallis
  5 years agoPosted 5 years ago. Direct link to Karra Wallis's post “To find the y-intercept, ...”
  To find the y-intercept, find where the line hits the y-axis. To find the x-intercept (which wasn't mentioned in the text), find where the line hits the x-axis. To find the slope, find two points on the line then do y2-y1/x2-x1 the numbers are subscripts.
  Hope that helped.
  Comment on Karra Wallis's post “To find the y-intercept, ...”
  (46 votes)
See Also
Slope Intercept Form - Formula, Equation, Graph and Examples Slope Intercept Form Calculator Slope intercept form Slope intercept form. Formula , examples, video tutorial, and practice problems with explanation.
Varahi
7 years agoPosted 7 years ago. Direct link to Varahi's post “I dont understand this wh...”
I dont understand this whole thing at all PLEASE HELP!
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(25 votes)
- Kim Seidel
  7 years agoPosted 7 years ago. Direct link to Kim Seidel's post “The slope-intercept form ...”
  The slope-intercept form of a linear equation is where one side contains just "y". So, it will look like: y = mx + b where "m" and "b" are numbers.
  This form of the equation is very useful. The coefficient of "x" (the "m" value) is the slope of the line. And, the constant (the "b" value) is the y-intercept at (0, b)
  So, if you are given an equation like: y = 2/3 (x) -5
  We can tell that the slope of the line = 2/3 and the y-intercept is at (0, -5)
  Hope this helps.
  Comment on Kim Seidel's post “The slope-intercept form ...”
  (39 votes)
Carson Payne
7 years agoPosted 7 years ago. Direct link to Carson Payne's post “how does an equation resu...”
how does an equation result to an answer?
Button navigates to signup page•Comment on Carson Payne's post “how does an equation resu...”
(24 votes)
- hanco*ckandrewj
  4 years agoPosted 4 years ago. Direct link to hanco*ckandrewj's post “The equation results in h...”
  The equation results in how to graph the line on a graph. If they give you the x value then you would plug that in and it would tell you the answer in y.
  Comment on hanco*ckandrewj's post “The equation results in h...”
  (11 votes)
Henry Mays
2 years agoPosted 2 years ago. Direct link to Henry Mays's post “Why should I learn this a...”
Why should I learn this and what can I use this for in the future.
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(16 votes)
- David Severin
  See Also
  Slope Intercept Form - Definition, Formula, Examples, FAQs
  2 years agoPosted 2 years ago. Direct link to David Severin's post “slopes are all over the p...”
  slopes are all over the place in the real world, so it depends on what you plan to do in life of how much you use this. Art, building, science, engineering, finance, statistics, etc. all use linear functions.
  Comment on David Severin's post “slopes are all over the p...”
  (18 votes)
Vector Inc.
4 years agoPosted 4 years ago. Direct link to Vector Inc.'s post “Is it ever possible that ...”
Is it ever possible that the slope of a linear function can fluctuate? Or is the slope always a fixed value?
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(10 votes)
- Kim Seidel
  4 years agoPosted 4 years ago. Direct link to Kim Seidel's post “A linear functions create...”
  A linear functions creates a straight line. So, the slope is always a fixed value. If the slope could fluctuate, then you wouldn't have a straight line graph. The graph would be curved, or V-shaped.
  Button navigates to signup page
  (14 votes)
deepasaji
a year agoPosted a year ago. Direct link to deepasaji's post “Why is it called algebra?...”
Why is it called algebra? Is it Greek or something?
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(7 votes)
- Rose🌹
  a year agoPosted a year ago. Direct link to Rose🌹's post “There is an overview hist...”
  There is an overview history video in Algebra 1 that explains this better than I can but basically Algebra is a Medieval Latin short hand for the title of the first book explaining these principals.
  It was called "al-mukhtasar fi hisab al-jabr wa al-muqabala", which is Arabic for "the compendium on calculation by restoring and balancing".
  Here's the link to the vid if you want to explore further: https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:foundation-algebra/x2f8bb11595b61c86:algebra-overview-history/v/origins-of-algebra
  Hope I answered your question well! Best of luck learning🍀
  Comment on Rose🌹's post “There is an overview hist...”
  (24 votes)
kendellnoble2002
7 years agoPosted 7 years ago. Direct link to kendellnoble2002's post “say you have a problem li...”
say you have a problem like (3,1) slope= 4/3. how would you work that out
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(3 votes)
- Rei
  4 years agoPosted 4 years ago. Direct link to Rei's post “Pretty late here, but for...”
  Pretty late here, but for anyone else reading, I'll assume they meant how you find the slope intercept using only these values.
  Since we know the slope is 4/3, we can conclude that: y = 4/3 * x ... But what is the constant, the y axis intercept point?
  You can solve for it by doing: 1 = 4/3 * 3 + c... We know the values for x and y at some point in the line, but we want to know the constant, c. You can solve this algebraically.
  1 = 4/3 * 3 + c
  1 = 4 + c
  1 - 4 = 4 - 4 + c
  -3 = c
  The slope intercept equation is: y = 4/3 * x - 3
  The y axis intercept point is: (0 , -3)
  I just started learning this so if anyone happens across this and spots an error lemme know.
  Comment on Rei's post “Pretty late here, but for...”
  (8 votes)
Karina Rutann
2 years agoPosted 2 years ago. Direct link to Karina Rutann's post “I am so lost I need help ...”
I am so lost I need help :((
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(6 votes)
- David Severin
  2 years agoPosted 2 years ago. Direct link to David Severin's post “The start of the lesson s...”
  The start of the lesson states what you should have some understanding of, so the first question is do you have some understanding of these two concepts?
  "You should know what two-variable linear equations are. Specifically, you should know that the graph of such equations is a line. If this is new to you, check out our intro to two-variable equations.
  You should also be familiar with the following properties of linear equations: y-intercept and x-intercept and slope."
  If these are an issue, you need to go back and review these concepts. If you understand these, then you need to be more specific on where you are struggling. This is just an intro, so it is basically identifying slope and intercept from an equation. Which checks do not make sense?
  Comment on David Severin's post “The start of the lesson s...”
  (4 votes)
Alex
a year agoPosted a year ago. Direct link to Alex's post “How do I find the x inter...”
How do I find the x intercept?
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(3 votes)
- Kim Seidel
  a year agoPosted a year ago. Direct link to Kim Seidel's post “You use y=0 in the equati...”
  You use y=0 in the equation and calculate "x"
  Button navigates to signup page
  (8 votes)

Slope-intercept form introduction | Algebra (article) | Khan Academy (2024)

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