Respuesta :

Answer:

y=[tex]-\frac{1}{4}[/tex]x+6

Step-by-step explanation:

To find the slope: [tex]\frac{5-7}{4-(-4)}[/tex] --> [tex]\frac{5-7}{4+4}[/tex] --> [tex]\frac{-2}{8}[/tex] --> [tex]-\frac{1}{4}[/tex]

Insert into the point-slope form: (y-7)=[tex]-\frac{1}{4}[/tex](x+4)

Solve: y-7=[tex]-\frac{1}{4}[/tex]x-1 --> y=[tex]-\frac{1}{4}[/tex]+6