Question

In slope-intercept form, what is the equation of the line passing through the points (−4, 26) and (6, −4)?

y = −3x − 14
y = 3x + 14
y = −3x + 14
y = −3x + 2

Answer 1

y=-3x+14 is the answer

Answer 2

Answer:

Option C is correct.

Step-by-step explanation:

Given: Passing through Point are ( -4 , 26 )   and ( 6 , -4 )

We have to write the equation of the line passing through given point in Slope-Intercept Form.

First we find the equation using Two-point form then rewrite in slope-intercept form.

Two Point Form,

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-26=\frac{-4-26}{6-(-4)}(x-(-4))$

$y-26=\frac{-4-26}{6+4}(x+4)$

$y-26=\frac{-30}{10}(x+4)$

$y-26=-3(x+4)$

$y=-3x-12+26$

$y=-3x+14$

Therefore, Option C is correct.