Question

Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form

Answer 1

`y = 5x - 11`

Explanation:

1) Find slope

2) Substitute 1 point back into formula to find y-intercept, aka c

Answer 2

`y = 5x - 11`

EXPLANATION

The given line passes through:

(3,4) and (2,-1).

The slope is given by:

`m = ( - 1 - 4)/(2 - 3)`

`m = ( - 5)/( - 1) = 5`

The equation can be found using

`y-y_1=m(x-x_1)`

We plug in the point and slope to get:

`y - 4 = 5(x - 3)`

`y - 4 = 5x - 15`

`y = 5x - 15 + 4`

`y = 5x - 11`

This is the slope-intercept form