Unit 5 Test Review

Slope-Intercept Form

100

Find the slope of the line:

y = -2x + 3

slope -> -2

200

Find the y-intercept of the line:

y = 6x

y-intercept -> 0

300

Proportional or non-proportional?

y = -4x 

proportional because their is no y-intercept, passes through the origin

400

Write an equation in slope-intercept form of a line with a slope of -1/5 and a y-intercept of 3

y = -1/5x + 3

500

Write an equation in slope-intercept form of a line passing through points (0, 6) and (-2, -8)

y = 7x + 6

Point-Slope Form

100

The equation below is in point-slope form. What is the slope?

y - 3 = 9 (x + 2)

slope -> 9

200

Write in point-slope form an equation of a line with a slope of 2/3 passing through the point (-1, 5)

y - 5 = 2/3 (x - - 1)

or

y - 5 = 2/3 (x + 1)

300

Write in point-slope form an equation of a line with a slope of -1 passing through the point (10, -3)

y - - 3 = - (x - 10)

or

y + 3 = - (x - 10)

400

Convert the equation in point-slope form into slope-intercept form

y - 4 = 3/5 (x + 10)

y = 3/5x - 10

500

Write an equation in point-slope form of the line passing through points (-8, 1) and (4, 5)

y - 5 = 1/3 (x - 4)

or 

y - 1 = 1/3 (x + 8)

Find the Slope

100

Find the slope of the line:

y = -10x + 4

slope -> -10

200

Find the slope of a line with a vertical change of 4 and a horizontal change of 3

slope -> 4/3

300

Find the slope of a line passing through points (3, 8) and (-2, -1)

slope -> 9/5

400

Find the slope of a line passing through points (12, -6) and (-6, 8)

Then find the slope of a line perpendicular to the original line

original slope -> - 7/9

perpendicular slope -> 9/7

500

Find the slope of a line passing through points (-4, -3) and (-4, 16)

Then find the slope of a line perpendicular to the original

original slope -> undefined

perpendicular slope -> 0

Standard Form

100

Convert from standard form to slope-intercept form:

3x + y = 15

y = -3x + 15

200

Find the slope and y-intercept of the equation:

-6x + 3y = 27

slope -> 2

y-intercept -> 9

300

Find the x-intercept and y-intercept of the line 4x − 4y = 32

y-intercept -> -8

x-intercept -> 8

400

Find the x-intercept and the y-intercept of −4x + 2y = 28

x-intercept -> -7

y-intercept -> -14

500

Find the x-intercept and the y-intercept of x + 4y = 20

x-intercept -> 20

y-intercept -> 5

Find the Y-Intercept

100

y = 4x + 8

y-intercept -> 8

200

y - 2x = -5

y-intercept -> -5

300

4y - 24 = x

y-intercept -> 6

400

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

y-intercept -> -4

500

a line crossing through points (4, 0) and (-2, 6)

y-intercept -> 3