Question

Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.

y=-2x+4
-5x+10y=5
A:Parallel
B:Perpendicular
C: Neither

Answer 1

y=-2x+4

the slope is -2

-5x+10y=5

solve for y

add 5x to each side

10 y = 5x+5

divide by 10

y = 1/2 x +1/2

the slope is 1/2

take the negative reciprocal of -2

- (1/-2) = 1/2

The two lines are perpendicular