Question

Let f(-1)=16 and f(5) = -8Write the equation of the line in slope intercept form that passes throughthese two points

Answer 1

$\begin{gathered} \Rightarrow x_1=-1,y_1=16,x_2=5,y_2=-8 \\ \text{The line of equation is,} \\ (y-y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ y-16=\frac{-8-16}{5+1}(x+1) \\ y-16=\frac{-24}{6}(x+1) \\ y-16=-4(x+1) \\ y-16=-4x-4 \\ y=-4x+16-4 \\ y=-4x+12 \end{gathered}$