# Graph and decide whether lines are paralle or perpendicular.

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Graph both linear equations in the same rectangular coordinate system. Decide if the lines are parallel, perpendicular or neither parallel nor perpendicular:

2x-4y= -16

x-2y=2

Refer to the attachment for the graph.

Â© BrainMass Inc. brainmass.com December 24, 2021, 10:29 pm ad1c9bdddfhttps://brainmass.com/math/graphs-and-functions/graph-decide-whether-lines-paralle-perpendicular-480854

## SOLUTION This solution is **FREE** courtesy of BrainMass!

Dear student,

Please find the solution attached.

Solution:

Let us write the given equations in slope-intercept form i.e. Y = mX + b where m is the slope of the line

For 2X - 4Y = -16 , slope intercept form is

4Y = 2X + 16

Y = 1/2X + 4

For equation X- 2Y =2

2Y = X -2

Y = 1/2X - 1

Now, as we can see that the slope is 1/2 for both the lines, therefore the two given lines are parallel.

For graph plotting, refer to the attached image.

Â© BrainMass Inc. brainmass.com December 24, 2021, 10:29 pm ad1c9bdddf>https://brainmass.com/math/graphs-and-functions/graph-decide-whether-lines-paralle-perpendicular-480854