Question

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

Answer 1

Answer:

$y = 5x - 11$

Step-by-step explanation:

1) Find slope

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

Answer 2

ANSWER

$y = 5x - 11$

EXPLANATION

The given line passes through:

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

The slope is given by:

$m = \frac{ - 1 - 4}{2 - 3}$

$m = \frac{ - 5}{ - 1} = 5$

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