For a function \(f\), \(f(1)=8\) and \( f(-2)=-4 \). If the graph of \(y=f(x)\) is a line in the \(xy\)-plane, what is the slope of the line?

Summary Submit Skip Question

We can convert the given information into \((x,y)\) coordinates.

$$ f(1)=8;   (1,8) $$ $$ f(-2)=-4;   (-2,-4) $$

Using the slope equation,

$$ m=\frac{y_2-y_1}{x_2-x_1} $$ $$ m=\frac{8-(-4)}{1-(-2)} $$ $$ m= \frac{12}{3} $$ $$ m=\boxed{4} $$