Question

Tell weather 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

The slopes are perpendicular.

Explanation:

First we are going to find the slope-inercept form from the equation, -5x + 10y = 5.

Solve for y.

-5x + 10y = 5

+5x. =+5x

10y = 5x + 5

`(10y)/(10) = (5x + 5)/(10) \\ y = (1)/(2)x + (1)/(2)`

So we now have

`y = (1)/(2)x + (1)/(2) \\ and \\ y = - 2x + 4`

Looking at the equation above, the slopes are perpendicular.