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This printable supports Common Core Mathematics Standard HSG-GPE.B.5

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# Equations of Parallel & Perpendicular Lines (Grade 9)

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## Equations of Parallel & Perpendicular Lines

1.
Write the equation of the line in slope-intercept form passing through the point (-5, -2) and perpendicular to $-5x - 2y = 27.$
1. $y = 5/2x + 21/2$
2. $y = 2/5x$
3. $y = -5/2x - 29/2$
4. $y - -2/5x - 4$
2.
Write the equation of the line perpendicular to $-4y-3x=12$ through (12, 5).
1. $y=4/3 x-11$
2. $y=-4/3 x+16$
3. $y=-3/4 x-3$
4. $y=-3/4 x+9$
3.
Write an equation in slope-intercept form for the line that passes through (-2,3) and is parallel to the line with equation 3x + 2y = 6.
1. $y=- 3/8 x -9/14$
2. $y=-3/2 x$
3. $y=- 2/3 x +3$
4. $y=3x+9$
4.
Write an equation in slope-intercept form that is parallel to the equation y = -2x + 3 and passes through the point (4,2).
1. $y = -2x + 2$
2. $y = 1/2 x + 2$
3. $y = -2x + 10$
4. $y = 1/2x$
5.
Choose the equation of a line passing through (3, 1) that is perpendicular to $y=(-1/2)x-(1/4)$.
1. $y=2x-5$
2. $y=3x-1$
3. $y=(1/2)x-6$
4. $y=(1/2)x+(1/2)$
6.
Write the equation of the line in slope-intercept form passing through the point (-6, 7) and parallel to $3x + 7y = 3.$
1. $y = 3/7x - 31/7$
2. $y = -7/3x + 7/3$
3. $y = -3/7x + 31/7$
4. $y = 3/7x + 3/7$
7.
Write an equation in slope-intercept form that is perpendicular to the equation y = -2x + 3 and passes through the point (4,2).
1. $y = -2x + 2$
2. $y = 1/2 x + 2$
3. $y = -2x + 10$
4. $y = 1/2x$
8.
Write the equation of a line parallel to $y=2/5 x-3$ that goes through the point (1,-1).
1. $y=5/2x-3$
2. $y=2/5x-7/5$
3. $y=-5/2x-7/5$
4. $y=-5/2x+3/2$
9.
Write an equation in slope-intercept form for a line containing (3,2) and perpendicular to the line with equation y = -2x + 6.
1. $y = 1/2x - 2$
2. $y = 3x +3$
3. $y = 1/2x + 1/2$
4. $y = -2x + 2$
10.
Choose the equation of a line that is perpendicular to $3x+4y=2$ and passes through (3, 1).
1. $y = -3/4 x + 13/4$
2. $y = -4/3 x +5$
3. $y = 3/4 x - 5/4$
4. $y = 4/3 x -3$
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