Question

Write an equation of the line in slope- intercept form.

Answer 1

Answer:

$a)\ y=-\frac{4}{5}x -3$

Step-by-step explanation:

Slope (m) form: $\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-3-1}{0-(-5)} \\\\m=\frac{-4}{0+5} \\\\m=-\frac{4}{5}$

$y=mx+b\\y=-\frac{4}{5}x +b$

(-5, 1)

$y=-\frac{4}{5}x +b\\1=-\frac{4}{5}(-5) +b\\1=4+b\\-4-4\\-3=b$

$y=-\frac{4}{5}x -3$

Check your answer:

$y=-\frac{4}{5}x -3 \\1=-\frac{4}{5}(-5) -3\\1=4-3\\1=1$

This statement is true

Hope this helps!

Answer 2

Answer:

A

Step-by-step explanation:

becuase the 3 is negtive and the 4/5 so it A