Write an equation of the line. Write the equation in the form x = a, y = b, or y = mx + b.
-Through (3,10) ; parallel to 3 x+7 y=44
A) $y = \frac { 3 } { 7 } x + \frac { 79 } { 7 }$
B) $y = - \frac { 7 } { 3 } x + 44$
C) $y = - \frac { 3 } { 7 } x + \frac { 79 } { 7 }$
D) $y = - \frac { 7 } { 3 } x + 10$

Question

Write an equation of the line. Write the equation in the form x = a, y = b, or y = mx + b.
-Through  (3,10) ; parallel to  3 x+7 y=44 
A) $y = \frac { 3 } { 7 } x + \frac { 79 } { 7 }$
B) $y = - \frac { 7 } { 3 } x + 44$
C) $y = - \frac { 3 } { 7 } x + \frac { 79 } { 7 }$
D) $y = - \frac { 7 } { 3 } x + 10$

Quizplus · Accepted Answer

The line is parallel to 3x + 7y = 44, which has a slope of -3/7. So the line must also have a slope of -3/7. The line passes through (3, 10), so the y-intercept is 10 + (3/7)(3) = 79/7. So the equation of the line is y = -3/7x + 79/7.

Write an Equation of the Line y=37x+797y = \frac { 3 } { 7 } x + \frac { 79 } { 7 }y=73​x+779​

Write an Equation of the Line $y = \frac { 3 } { 7 } x + \frac { 79 } { 7 }$