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