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

-2x+10y=5

User BlueFox
by
6.3k points

1 Answer

3 votes

Answer:

The slopes are neither perpendicular nor parallel.

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} (10y)/(10) = (2x + 5)/(10) \\ y = (1)/(5)x + (1)/(2) \end{gathered}

So we now have


\begin{gathered}y = (1)/(5)x + (1)/(2) \\ and \\ y = - (1)/(5) x + 6 \end{gathered}

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

User Hungrxyz
by
6.2k points
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