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Use slopes and y-intercepts to determine if the lines y=x/2+5 and x−2y=3 are parallel.

User Corprew
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1 Answer

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The lines with the equations y=x/2+5 and x−2y=3 are parallel.

How to determine if the lines are parallel

From the question, we have the following parameters that can be used in our computation:

y = x/2 + 5

x = -2y + 3

To compare the slopes of the two lines, we can first rewrite them in slope-intercept form:

y = x/2+5

x - 2y = 3

2y = x - 3

y = x/2 - 3/2

So, the first line has a slope of 1/2 and a y-intercept of 5, and the second line has a slope of 1/2 and a y-intercept of -3/2.

Since the two lines have the same slopes, they are parallel.

User Vladimir Shiyanov
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