Question

Complete the equation of the line through (3,-8)(3,−8)left parenthesis, 3, comma, minus, 8, right parenthesis and (6,-4)(6,−4)left parenthesis, 6, comma, minus, 4, right parenthesis.

Answer 1

Answer:

$y = \frac{4}{3}x - 12$

Step-by-step explanation:

Given

$(x_1,y_1) = (3,-8)$

$(x_2,y_2) = (6,-4)$

Required

Determine the equation

First, we need to determine the slope (m):

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{-4 - (-8)}{6 -3}$

$m = \frac{-4 +8}{3}$

$m = \frac{4}{3}$

Next, we determine the line equation using:

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

Where

$m = \frac{4}{3}$

$(x_1,y_1) = (3,-8)$

$y - (-8) = \frac{4}{3}(x - 3)$

$y +8 = \frac{4}{3}(x - 3)$

$y +8 = \frac{4}{3}x - 4$

$y = \frac{4}{3}x - 4 - 8$

$y = \frac{4}{3}x - 12$

Answer 2

Answer:

The answer is y = 4/3x - 12

Step-by-step explanation:

Look at attachment:

Hope this helps! :)