Question

Which line is parallel to the line given below y=-(5/2)x-7A. 2x+5y = -5B. 2x - 5y =30C. 5x+2y= 4D. 5x - 2y =8

Answer 1

Answer:

C. 5x+2y= 4

Explanation:

Two lines are parallel if their slopes are the same.

To determine the line that is parallel, express each of the options in the slope-intercept form.

$\begin{gathered} A.2x+5y=-5\implies5y=-2x-5\implies y=-\frac{2}{5}x-1 \\ B.2x-5y=30\implies5y=2x-30\implies y=\frac{2}{5}x-6 \\ C.5x+2y=4\implies2y=-5x+4\implies y=-\frac{5}{2}x+2 \\ D.5x-2y=8\implies2y=5x-8\implies y=\frac{5}{2}x-4 \end{gathered}$

The only equation with a slope of -5/2 is Option C.

The parallel line is 5x+2y= 4.