Question

tell weather the lines for each pair of equations are parallel perpendicular or neither y=-1/5x+6
-2x+10y=5

Answer 1

Answer:

The slopes are neither perpendicular nor parallel.

Step-by-step explanation:

First we are going to find the slope-inercept form from the equation, -2x + 10y = 5.

Solve for y.

-2x + 10y = 5

+2x. = +2x

10y = 2x + 5

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

So we now have

$\begin{gathered}y = \frac{1}{5}x + \frac{1}{2} \\ and \\ y = - \frac{1}{5} x + 6 \end{gathered}$

Looking at the equation above, the slopes are neither perpendicular nor parallel.