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

Answer:

The slopes are perpendicular.

Step-by-step 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

$\frac{10y}{10} = \frac{5x + 5}{10} \\ y = \frac{1}{2}x + \frac{1}{2}$

So we now have

$y = \frac{1}{2}x + \frac{1}{2} \\ and \\ y = - 2x + 4$

Looking at the equation above, the slopes are perpendicular.