Linear Equations and Their Graphs

Rate of Change and Slope-Intercept Form

100

Find the rate of change: 

You run 7 miles in one hour and 21 miles in three hours.

7 miles per hour

200

Find the rate of change:

In 3 days you earn $75. In 5 days you earn $125.

$25 per day

300

Find the slope of the line that passes through each pair of points:

(3, 2), (5, 6)

2

400

Write an equation of a line with the given slope and y-intercept:

m = -1, b = -6

y = -x = 6

or

y = -1x + (-6)

500

Write an equation of a line with the given slope and y-intercept:

m = 0.4, b = 0.6

y = 0.4x + 0.6

Absolute Value Equations

100

Write an equation for each translation of y = |x|:

9 units up

y = |x| + 9

200

Write an equation for each translation of y = |x|:

5.9 units up

y = |x| + 5.9

300

Write an equation for each translation of y = |x|:

1 unit down

y = |x| -1

400

Write an equation for each translation of y = |x|:

left 9 units

y = |x + 9|

500

Write an equation for each translation of y = |x|:

right 8.2 units

y = |x - 8.2|

Parallel and Perpendicular Lines

100

Tell whether the lines for each pair of equations are parallel, perpendicular, or neither:

y = -x + 5

y = x + 5

perpendicular

200

Tell whether the lines for each pair of equations are parallel, perpendicular, or neither:

y = 5x

y = -5x + 7

neither

300

Tell whether the lines for each pair of equations are parallel, perpendicular, or neither:

3x - 5y = 3

-5x + 3y = 8

neither

400

Tell whether the lines for each pair of equations are parallel, perpendicular, or neither:

2x + y = 2

2x + y = 5

Parallel

500

Tell whether the lines for each pair of equations are parallel, perpendicular, or neither:

x = 2

y = 9

perpendicular

Standard Form

100

Find the x- and y-intercept of each equation:

-2x - 3y = -12

x-int = 6

y-int = 4

200

Find the x- and y-intercept of each equation:

-8x + 10y = 40

x-int = -5

y-int = 4

300

Tell whether the graph is a horizontal or a vertical line:

x = 4

vertical

400

Tell whether the graph is a horizontal or a vertical line:

y = -1

horizontal

500

Write the equation in standard form:

y = 3x + 1

-3x + y = 1

Point-Slope Form

100

Write the equation in point-slope form for the line through the given point that has the given slope:

(3, -4); m = 6

y + 4 = 6(x - 3)

or

y - (-4) = 6(x - 3)

200

Write the equation in point-slope form for the line through the given point that has the given slope:

(4, 0); m = 1

y = 1(x - 4)

or

y - 0 = 1(x - 4)

300

Write the equation in point-slope form for the line through the given point that has the given slope:

(-5, 2); m = 0

y - 2 = 0(x + 5)

or

y = 2

400

A line passes through the given points. Write an equation for the line in point-slope form. Then rewrite the equation in slope-intercept form:

(6, -4), (-3, 5)

y + 4 = -1(x - 6)

y = -x + 2

500

Write the equation in point-slope form for the line through the given point that has the given slope:

(2, 7), (1, -4)

y - 7 = 11(x - 2)

y = 11x - 15