Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form.
-The line passes through the point $( 15 , - 2 )$ and has a slope of $\frac { 2 } { 5 }$.
A) $y = \frac { 2 } { 5 } x + 15$
B) $y = \frac { 2 } { 5 } x + 22$
C) $y = \frac { 2 } { 5 } x - 8$
D) $y = - \frac { 2 } { 5 } x - 8$

Question

Quizplus · Accepted Answer

Using the point-slope form $y - y_1 = m(x - x_1)$ with $m = \frac{2}{5}$ and point $(15, -2)$, we get $y + 2 = \frac{2}{5}(x - 15)$. Simplifying gives $y = \frac{2}{5}x - 8$.

Write an Equation of the Line Satisfying the Given Conditions (15,−2)( 15 , - 2 )(15,−2)

Write an Equation of the Line Satisfying the Given Conditions $( 15 , - 2 )$