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The line 2x = 8 or x = 4 is one that is parallel to the y-axis. The slope of the line is infinity. -3y = 15 or y = -5 is parallel to the x- axis. This line has a slope equal to 0.
As the x-axis and the y-axis are perpendicular the given lines are perpendicular too.
The given lines 2x = 8 and -3y = 15 are perpendicular.
Given the equation of the lines:
-3y = 15
2x = 8
Let us rewrite the equations:
==> y= -5
==> x = 4
The line y= -5 is a line parallel to the x-axis and passes through y= -5.
The line x= 4 is a line parallel to the y-axis and passes through x=4.
But we know that the x-axis and the y-axis are perpendicular.
Then the lines -3y=15 and the line 2x=8 are perpendicular.
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