Writing Equations of PARALLEL and PERPENDICULAR Lines
WORKSHEET
Write the slope of the line that is PARALLEL to each line.
1.
y  2x  5
2.
y  x  2
3.
y
3
x7
4
6.
y
3
x7
4
Write the slope of the line that is PERPENDICULAR to each line.
4.
y  2x  5
7.
Write an equation in Slope-Intercept form of the line that is parallel to y = 5x + 12
8.
Write an equation in Slope-Intercept form of the line that is perpendicular to y = 3x – 22
5.
y  x  2
Parallel and Perpendicular Lines Worksheet
Write the equation in slope intercept form of the line parallel and line perpendicular to given line through given point.
Parallel
Perpendicular
1) y = 4x + 7
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2) y = ½ x - 10
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3) y = ¾ x + 16
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State if the lines are Parallel, Perpendicular, or Neither (Hint: Put in slope intercept form y = mx +b) Get the Y all by
itself on one side of the equation.
4) 6x ─ 12y = 24
4x + 2y = 8
5) 4x + y = 5
3x +12y = ─6
6) ─2x + 7y = 14
4x = 14y
Solve the systems of equations. State whether the lines are intersecting, parallel, or coincident.
7)
3x + 2y = 19
4x ─ 5y = 10
8) 3x ─ 2y = 2
6x ─ 4y = 4
9) 4x ─ 3y = 12
─12x + 9y = 10