Write an equation of the line satisfying the given conditions. Write the answer inslope-intercept form. The line contains the point $( - 6,19 )$ and is parallel to a line with a slope of $- \frac { 5 } { 2 }$.
A) $y = - \frac { 5 } { 2 } x - 6$
B) $y = - \frac { 5 } { 2 } x + 19$
C) $y = \frac { 5 } { 2 } x + 4$
D) $y = - \frac { 5 } { 2 } x + 4$

Question

Quizplus · Accepted Answer

The line parallel to another line will have the same slope. Thus, the slope is $-\frac{5}{2}$. Using the point-slope form $y - y_1 = m(x - x_1)$ with point $(-6, 19)$, we get $y - 19 = -\frac{5}{2}(x + 6)$. Simplifying, we find the equation in slope-intercept form is $y = -\frac{5}{2}x + 4$.

Write an Equation of the Line Satisfying the Given Conditions (−6,19)( - 6,19 )(−6,19)

Write an Equation of the Line Satisfying the Given Conditions $( - 6,19 )$