Are the lines parallel? y = 4x - 1 and 2x + 5y = 10

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Are the lines parallel? y = 4x - 1 and 2x + 5y = 10

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

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

[tex]2x - \frac{1}{2}y = -\frac{5}{2}\Rightarrow4x-y=-5 \Rightarrow y=4x+5 \Rightarrow m=4[/tex]