Describe the graph of the system

A system of linear equations is shown below.

                                    4y = 3x + 12
                                  -4y = -3x - 8
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Which of the following describes the graph of the
system of linear equations in the standard (x,y) coordinate plane?
A.)  Two parallel lines with negative slope
B.)  Two parallel lines with positive slope
C.)  A single line with a negative slope
D.)  A single line with a positive slope
E.)  Two perpendicular lines

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Get each equation in slope-intercept form.

4y = 3x + 12
y = (3/4)x + 3   {divided each side by 4}
slope = 3/4
y-intercept = 3

-4y = -3x - 8
y = (3/4)x + 2   {divided each side by -4}
slope = 3/4
y-intercept = 2

Since the slopes are both 3/4, these two lines are parallel.

B.)  Two parallel lines with positive slope

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