Unit 4 Test Review: Linear Functions

Slope-Intercept Form

100

What is the Slope-Intercept Form?

y=mx+b

200

Create the slope-intercept form given the following info:

m=4

b=-5

y=4x-5

300

What is the y-intercept of the given equation? (needs to be an (x,y) point)

y=3x-9

(0,-9)

400

Which of the following slope-intercept form equations has a y-intercept at (0,-6)?

y=-6x+4

y=6x-4

y=4x-6

y=4x-6

500

Given the following equation in slope-intercept form, find the x-intercept (x,0).

y=-3x-6

(-2,0)

Point-Slope Form

100

What is the Point-Slope Form?

y-y₁=m(x-x₁)

200

Create the point-slope form equation given the following info:

slope: 5

point: (3,4)

y-4=5(x-3)

300

What is the slope of the given equation?

y+6=-2(x-4)

m=-2

400

What is the point given in the following equation? (x₁,y₁)

y+2=3(x-1)

(1,-2)

500

Given the following equation in point-slope form, find the y-intercept (0,y).

y-2=2(x-3)

(0,-4)

Standard Form

100

What is the Standard Form?

Ax+By=C

200

How do we find the x-intercept from a standard form equation?

plug in y=0 and solve for x

300

What is the y-intercept of the following equation:

3x + 4y = 24

y=6

(0,6)

400

What is the x-intercept of the following equation:

-3x-2y=12

x=-4

(-4,0)

500

Find the x and y intercepts of the following equation:

4x+5y=20

xint (5,0)

yint (0,4)

Parallel/Perpendicular

100

If two lines are parallel, their slopes are ________

the same

200

What slope is perpendicular to 1/2?

-2

300

Are these lines parallel, perpendicular, or neither?

y=2x-5

y=-2x+5

neither

400

Are the two lines parallel, perpendicular, or neither?

y=3/4x+7

y=-4/3x-8

perpendicular

500

Create the equation of the line that is parallel to the given line and has a b value of 4

y=-5x+9

y=-5x+4

Changing Forms

100

Change the following slope-intercept equation into standard form:

y=2x-7

-2x+y=-7

200

Change the following point-slope form equation into slope-intercept form:

y-3=2(x-1)

y=2x+1

300

Change the following slope-intercept form into standard form:

y=-1/3x+4

1x+3y=12

400

Describe the two steps needed to turn the following standard form equation into slope-intercept form:

2x + 3y = 8

subtract 2x from each side, then divide everything by 3

500

Which of the following equations is the same as y=2x+2?

y-3=2(x-4)

-4x+2y=4

-4x+2y=4