Question

What is the equation in slope-intercept form for a line that passes through the points (-5, 5) and

(-45, 80)?

Answer 1

y = -15/8x - 35/8

Explanation:

Find the slope =
`(change in y)/(change in x)`

=
`(80 - 5)/(-45 - (-5)`)

=
`(75)/(-40)`

=
`(-15)/(8)`

Find the y-intercept Use one point (-5, 5) and the slope
`(-15)/(8)`

y = mx + b

5 = -15/8 (-5) + b

5 = 75/8 + b

5 - 75/8 = b

-35/8 = b

Write the equation

y = -15/8x - 35/8