Equations of Lines

Slope-Intercept FormTake 1

100

Write an equation of a line that has a slope of -4 and a y-intercept of 8

y = -4x + 8

200

Write an equation of a line that has a y-intercept of 4 and is parallel to  y=(5/4)x – 3

y = (5/4)x + 4

300

Write an equation of a line that has a y-intercept of 10 and is perpendicular to y = 3x + 7

y = (-1/3)x + 10

400

Rewrite the equation so that it's in slope-intercept form:  5x + 6y = 24

y = (-5/6)x + 4

500

Rewrite the equation so that it's in slope-intercept form: 

4x - 3y = -18

y = (4/3)x + 6

Slope-Intercept Form Take 2

100

Rewrite the equation so that it's in slope-intercept form: y - 5 = 2(x - 7)

y = 2x - 9

200

Rewrite the equation so that it's in slope-intercept form:  y + 3 = (3/2)(x - 8) 

y = (3/2)x - 15

300

Write an equation in slope-intercept form for a line that goes through (4, -9) with a slope of -2

y = -2x - 1

400

Write an equation in slope-intercept form for a line that goes through (6, 10) with a slope of (1/3)

y = (1/3)x + 8

500

Write an equation in slope-intercept form for a line that goes through the points (-2, 7) and (0, 15) 

y = 4x + 15

Point-Slope Form

100

Write the equation in point-slope form for the line that goes through the point (-1, 3) with a slope of 5

y - 3 = 5(x + 1)

200

Write the equation in point-slope form for the line that goes through the point (5, -8) with a slope of (1/4)

y + 8 = (1/4)(x - 5)

300

Write an equation in point-slope form of a line that goes through (7, 3) and (9, 8)

y - 3 = (5/2)(x - 7)  or  y - 8 = (5/2)(x - 9)

400

Write an equation in point-slope form of a line that goes through (-3, 6) and (1, 12)

y - 6 = (3/2)(x + 3) or y - 12 = (3/2)(x - 1)

500

Write an equation in point-slope form for the line that goes through the points (-5, 8) and (1, 2)

y - 8 = -(x + 5) or y - 2 = -(x - 1)

Parallel and Perpendicular

100

Are the two equations parallel, perpendicular, or neither?
y = 4x - 10
y = (-1/4)x + 2

Perpendicular

200

Are the two equations parallel, perpendicular, or neither?
y = (1/2)x + 4
y = 2x – 1

Neither

300

Are the two equations parallel, perpendicular, or neither?
y = (3/2)x - 8
3x - 2y = 20

Parallel

400

Write an equation in slope-intercept form for the line that goes through the point (9, -1) and is parallel to the line whose equation is y = 4x + 8. 

y = 4x - 37

500

Write an equation in slope-intercept form for the line that goes through the point (-8, 3) and is perpendicular to the line whose equation is y = -2x + 5

y = (1/2)x + 7