Chapter 9 Review

Point-Slope Equations

100

Write an equation in point-slope that goes through (4,-5) and has a slope of 2. 

y + 5 = 2 (x - 4) 

200

Write an equation in point slope that goes through (-1, -6) and is parallel to y = 5x + 2

y + 6 = 5 ( x + 1) 

300

Write an equation in point-slope form that is perpendicular to y = 7x - 2 and goes through (5, -2)

y + 2 = -1/7 (x - 5)

400

Write an equation in point-slope form that passes through (2, 6) and (-1, 5) 

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

OR 

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

500

Write an equation in point-slope form that passes through (5, -3) and (-1, 3)

y + 3 = -1 ( x - 5) 

OR 

y - 3 = -1 (x + 1)

Point Slope to Slope Intercept

100

Convert to slope intercept: 

y + 1 = 4 (x - 2)

y = 4x - 9

200

Convert to slope intercept: 

y - 2 = 3 (x + 11)

y = 3x + 35

300

Convert to slope intercept:

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

y = -1/2x + 4.5

400

Convert to slope intercept:

y - 5 = -1 (x + 2)

y = -1x + 3

500

Write an equation in point slope parallel to y = 2x + 1 through (5,7) then convert to slope intercept

y = 2x - 3

Point Slope to Standard

100

Convert to Standard Form:

y + 8 = 2x - 5

2x - y = 13

200

List the 4 criteria for standard form (the checklist)

1. X and Y on same side

2. A is positive

3. No fractions/decimals

4. No common factor other than 1

300

Convert to standard form:

y + 2 = 3 (x - 7)

3x - y = 23

400

Convert to standard form:

y - 9 = 2 (x - 4)

2x - y = -1

500

Convert to standard form: 

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

1x + 3y = 9

Converting Between All Linear Equations

100

Convert to Slope Intercept:

y - 2 = -1/3 (x - 12)

y = -1/3x + 6

200

Convert to Standard:

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

1x - 2y = -8

300

Convert to Slope Intercept:

2x + 4y = 6

y = -1/2x + 1.5

400

Convert to Standard Form:

y = 3x + 2

3x - y = -2 

500

Convert to Standard Form:

y + 2 = 3 (x + 1)

3x - y = -1 

Graphing Linear Equations

100

Explain how to graph the following

y + 2 = 2 (x - 1)

Plot (1, -2) and then use slope to rise 2, run 1. 

200

Explain how to graph the following: 

y = 3x + 2

Start on y-axis at 2 (intercept), then use slope to rise 3 and run 1. 

300

Explain how to graph the following: 

2x + 4y = 8

Use box method, or plug in 0 for x to find y intercept and plug in 0 for y to find x intercept. Plot on each axis.

Intercepts should be (4,0) and (0,2) 

400

Explain how to graph the following: 

y - 4 = -2/3 (x + 1)

Start at the point (-1, 4) and then use slope to rise 2 and run 3 in the negative direction. 

500

Explain how to graph the following:

3x - 2y = 6

Use box method, or plug in 0 for x to find y intercept and plug in 0 for y to find x intercept. Plot on each axis.

Intercepts should be (2,0) and (0, -3)