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

Question

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

sowmiya natarajan · Accepted Answer

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

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) $3 x - 7 y = 26$

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