Determine whether the pair of lines is parallel, perpendicular, or neitherx=2 and y = -5a) neither b) perpendicular c) parallel

We have to turn the equation -5x+10y=5 in to a y= equation so it’s easier to compare.

First, we add 5x to both sides to get 10y by itself: 10y = 5x + 5.

Now we divide both sides by 10 to get y by itself: y= 0.5x + 5.

In order for the lines to be perpendicular, the slopes must be opposite reciprocals of each other. The opposite of -2 is 2 and the reciprocal of 2 is 1/2, or 0.5, so these lines are B: perpendicular.

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