Answer:
[tex]a)\ y=-\frac{4}{5}x -3[/tex]
Step-by-step explanation:
Slope (m) form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]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}[/tex]
[tex]y=mx+b\\y=-\frac{4}{5}x +b[/tex]
(-5, 1)
[tex]y=-\frac{4}{5}x +b\\1=-\frac{4}{5}(-5) +b\\1=4+b\\-4-4\\-3=b[/tex]
[tex]y=-\frac{4}{5}x -3[/tex]
Check your answer:
[tex]y=-\frac{4}{5}x -3 \\1=-\frac{4}{5}(-5) -3\\1=4-3\\1=1[/tex]
This statement is true
Hope this helps!
