Write the equation in point-slope form
Rewrite in slope intercept form
Parallel Lines in Point Slope Form
Perpendicular Lines in Point Slope Form
Random Extra Practice
100

Passes through (4, -1) and has a slope of 1/3.

y+1 = 1/3 (x-4)

100

y-3 = 1/2 (x -6)

y = 1/2x

100

Write the equation in point-slope form of the line that is PARALLEL to the given line and passes through the given point. 

y = -2x -4,   (4,7)

y-7 = -2 (x -4)

100

Write the equation in point-slope form of the line that is PERPENDICULAR to the given line and passes through the given point. 

y = 1/3x -4,   (-2,3)

y-3 = -3 (x +2)

100

Write the equation in point-slope form of a line with the given information.

Passes through (2, 3) and has a slope of -3.

y-3 = -3 (x -2)

200

Passes through (5, -6) and has a slope of 1/5

y+6 = 1/5 (x-5)

200

y+4 = 1/4(x - 8)

y= 1/4x -6

200

Write the equation in point-slope form of the line that is PARALLEL to the given line and passes through the given point. 

y = -1/3x - 6,   (2,9)

y - 9 = -1/3 (x-2)

200

Write the equation in point-slope form of the line that is PERPENDICULAR to the given line and passes through the given point. 

y = 2/5x -4,   (-10,2)

y-2 = -5/2(x+10) OR y-2 = -2.5(x+10)

200

Write the equation in point-slope form of a line with the given information.

Passes through (-1, 9) and has a slope of 1/7.

y - 9 = 1/7 (x +1)

300

Passes through (-4, 7) and has a slope of 6

y-7 = 6(x+4)

300

2x + 6y = -12

y=-2/6x -2 OR y= -1/3x -2

300

Write the equation in point-slope form of the line that is PARALLEL to the given line and passes through the given point. 

y = 4x -16,   (1,8)

y-8 = 4(x-1)

300

Write the equation in point-slope form of the line that is PERPENDICULAR to the given line and passes through the given point. 

y = -5x -4,   (4, -1)

y+1 = 1/5 (x -4)

300

Write the equation in point-slope form of a line with the given information.

Passes through (6, 1) and (-2, -7).

SLOPE (m): -8/-8 OR 1

y+7 = 1(x+2) OR y-1 = 1(x-6)

400

Passes through (-2, 5) and (4, -8)

y-5 = -13/6(x+2) OR y+8 = -13/6(x-4)

400

8x - 2y = 16

y = 4x -8

400

Write the equation in point-slope form of the line that is PARALLEL to the given line and passes through the given point. 

y = -1/6x + 2,   (-1,-6)

y+ 6 = -1/6(x+1)

400

Write the equation in point-slope form of the line that is PERPENDICULAR to the given line and passes through the given point. 

y = 2x +6,   (1,-2)

y+2 = -1/2 (x-1)

400

Write the equation in point-slope form of a line with the given information.

Passes through (-1, 4) and (7, -2).

SLOPE (m): -6/8 OR -3/4

y-4 = -6/8(x +1) OR y+2 = -6/8(x-7)

500

Passes through (-3, 2) and (-6,-3)

y-2 = 5/3(x+3) OR y+3= 5/3(x+6)

500

3x - 2y = 8

y = 3/2x -4

500

Write the equation in point-slope form of the line that is PARALLEL to the given line and passes through the given point. 

y = 7x +1,   (-3,1)

y-1 = 7(x+3)

500

Write the equation in point-slope form of the line that is PERPENDICULAR to the given line and passes through the given point. 

y = -3x -4,   (15,-2)

y+2 = 1/3 (x-15)

500

Rewrite in slope intercept form.


9x + 2y = 8

y= -9/2x + 4