Find an equation of the line satisfying the given conditions. Write the equation using function notation.
-Through $( - 20,5 )$ and $( - 28,7 )$
A) $f ( x ) = - 4 x - 1$
B) $f ( x ) = - 4 x$
C) $f ( x ) = - \frac { 1 } { 4 } x$
D) $f ( x ) = \frac { 1 } { 4 } x$

Question

Quizplus · Accepted Answer

The slope of the line through the points $(-20, 5)$ and $(-28, 7)$ is $\frac{7 - 5}{-28 + 20} = \frac{2}{-8} = -\frac{1}{4}$. The equation of the line in function notation is $f(x) = -\frac{1}{4}x + b$. Using one of the points to solve for $b$, we find $b = 0$, so the equation is $f(x) = -\frac{1}{4}x$.

Find an Equation of the Line Satisfying the Given Conditions (−20,5)( - 20,5 )(−20,5)

Find an Equation of the Line Satisfying the Given Conditions $( - 20,5 )$