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-(2)/(3)}`

Explanation:

First, find the slope of line m using the slope formula:
`m=(y_2-y_1)/(x_2-x_1)`

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

`m = (-6-3)/(-2-(-5))=(-9)/(3)=-3`

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

`y=-3x-(2)/(3)`