Question

PLEASE HELP !!!!!!!! THANK YOU line m includes the points (-5,3) and (-2,-6). Line n has the same slope as line m and a y-intercept of -2/3. Write the equation for line n in slope-intercept form.

Answer 1

Answer: $\bold{y=-3x-\dfrac{2}{3}}$

Step-by-step explanation:

First, find the slope of line m using the slope formula: $m=\dfrac{y_2-y_1}{x_2-x_1}$

(x₁, y₁) = (-5, 3)  and (x₂, y₂) = (-2, -6)

$m = \dfrac{-6-3}{-2-(-5)}=\dfrac{-9}{3}=-3$

Next, input the slope (m = -3) and the y-intercept $\bigg(b=-\dfrac{2}{3}\bigg)$ into the Slope-Intercept formula: y = mx + b

$y=-3x-\dfrac{2}{3}$