Write an equation of the line through the point (-3,-5) that is parallel to the line $7 x + 3 y = - 8$ .
A) $- 7 x - 3 y = - 36$
B) $7 x + 3 y = - 36$
C) $7 x - 3 y = - 6$
D) $3 x + 7 y = - 44$
E) $3 x - 7 y = 26$

Question

Quizplus · Accepted Answer

The line parallel to $7x + 3y = -8$ has the same slope. Rewriting in slope-intercept form, $y = -\frac{7}{3}x - \frac{8}{3}$. The slope is $-\frac{7}{3}$. Using point-slope form with point (-3, -5), $y + 5 = -\frac{7}{3}(x + 3)$, which simplifies to $7x + 3y = -36$.

Write an Equation of the Line Through the Point (-3,-5) 7x+3y=−87 x + 3 y = - 87x+3y=−8

Write an Equation of the Line Through the Point (-3,-5) $7 x + 3 y = - 8$