Question

Which of the following equations represents a line parallel to 4x - y = -5?
8x - 2y = -10
4x + y = -2
4x - y = 2
2x - 1/2y = -5/2

Answer 1

all except the second one. the slope of the equation 4x-y= -5 is 4 and all the slopes of the choices equals 4 except the equation 4x+y= -2 it's slope equals -4

Answer 2

Correct answers are A, C and D.

Parallel lines have equal slopes.

4x - y = -5 ⇒ y = 4x + 5 ⇒ m = 4
8x - 2y = -10 ⇒ 4x - y = -5 ⇒ m = 4
4x + y = -2 ⇒ y = -4x - 2 ⇒ m = -4
4x - y = 2 ⇒ y = 4x - 2 ⇒ m = 4
$2x - \frac{1}{2}y = -\frac{5}{2}\Rightarrow4x-y=-5 \Rightarrow y=4x+5 \Rightarrow m=4$