Write the equation of the line passing through the points (-4,7) and (4,5).

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