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How Do You Write the Equation of a Line in Slope-Intercept Form If You Have a Table?
Write an equation in slope-intercept form to represent the linear function given in the table.
Summary
- Slope-intercept form is: y = mx+b
- 'm' stands for slope
- 'b' stands for the y-intercept
- The y-intercept is the point where a line intersects the y-axis.
- Slope is just the rise divided by the run, and to get that in formula form, we take 2 points and fine the change in y-coordinates divided by the change in x-coordinates

Notes
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- Slope-intercept form is: y = mx+b
- The y-intercept is the point where a line intersects the y-axis.
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- Slope is just the rise divided by the run, and to get that in formula form, we take 2 points and fine the change in y-coordinates divided by the change in x-coordinates
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- An ordered pair is a pair of numbers that locate a point in the coordinate plane, such as (2007,95) or (2008,112).
- A y-coordinate tells you where on the y-axis a point is located.
- An x-coordinate tells you where on the x-axis a point is located.
- A linear equation is an equation whose graph is a line.
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- Slope is just the rise divided by the run, and to get that in formula form, we take 2 points and fine the change in y-coordinates divided by the change in x-coordinates
- A y-coordinate tells you where on the y-axis a point is located.
- An x-coordinate tells you where on the x-axis a point is located.
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- Variables are symbols that can be used to represent things. In this case the variable is 'b', and 'b' represents the y-coordinate of the y-intercept for this line!
- We know 'm' is 17, and we can plug the coordinate (2007, 95) in for 'x' and 'y'. That leaves us with an equation where 'b' is the only unknown :)
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- Slope-intercept form is: y = mx+b
- We have already found the slope 'm', and the y-intercept 'b', so we can write the y=mx+b form of this line without too much trouble!