Question

Write the equation that models each linear relationship

Answer 1

Note: I will be writing these in slope-intercept form.

[6] y = 2x + 4

Since the line is going from bottom left to top right, we know the slope of the line is positive.

-> The b, or y-intercept, is 4 because the line hits the y-axis at 4.

-> The slope can be found with change in y over change in x,

`(14-4)/(5-0) =(10)/(5) =2`

-> The final equation is y = 2x + 4

[7] y = -3x - 5

Because the line is going from top left to bottom right, we know the slope of the line will be negative.

-> The b, or y-intercept, is -5 because the line hits the y-axis at -5.

-> The slope can be found with change in y over change in x,

`(4--5)/(-3-0)=(4+5)/(-3-0)=(9)/(-3)=-3`

-> The final equation is y = -3x - 5