Write the equation of the line with the given conditions.
-passing through $( - 8 , - 3 )$ and parallel to the line with equation $5 x - 7 y = 9$
A) $y = \frac { 7 } { 5 } x - \frac { 3 } { 5 }$
B) $y = - \frac { 5 } { 7 } x - \frac { 19 } { 7 }$
C) $y = - \frac { 8 } { 7 } x - \frac { 9 } { 7 }$
D) $y = \frac { 5 } { 7 } x + \frac { 19 } { 7 }$

Question

Quizplus · Accepted Answer

The slope of the line $5x - 7y = 9$ is $\frac{5}{7}$. A line parallel to it will have the same slope. Using the point-slope form with point $(-8, -3)$, the equation is $y + 3 = \frac{5}{7}(x + 8)$, which simplifies to $y = \frac{5}{7}x + \frac{19}{7}$.

Write the Equation of the Line with the Given Conditions (−8,−3)( - 8 , - 3 )(−8,−3)

Write the Equation of the Line with the Given Conditions $( - 8 , - 3 )$