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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

  1. Slope-intercept form is: y = mx+b
  2. 'm' stands for slope
  3. 'b' stands for the y-intercept
  4. The y-intercept is the point where a line intersects the y-axis.
  5. 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

    1. Slope-intercept form is: y = mx+b
    2. The y-intercept is the point where a line intersects the y-axis.
    1. 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
    1. An ordered pair is a pair of numbers that locate a point in the coordinate plane, such as (2007,95) or (2008,112).
    2. A y-coordinate tells you where on the y-axis a point is located.
    3. An x-coordinate tells you where on the x-axis a point is located.
    4. A linear equation is an equation whose graph is a line.
    1. 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
    2. A y-coordinate tells you where on the y-axis a point is located.
    3. An x-coordinate tells you where on the x-axis a point is located.
    1. 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!
    2. 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 :)
    1. Slope-intercept form is: y = mx+b
    2. 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!