Linear Functions ~ Unit 4A Review

Finding Slope of a Line

100

Identify the slope of the following equation.

y=mx+b

Slope is the variable m

200

Identify the slope of the following equation.

y=2x+3

Slope = 2

300

Name three ways to describe slope

1) rate of change

2) rise over run

3) m=y₂-y₁/x₂-x₁

4) y=mx+b

400

Find the slope of the line that includes the following points. (4,-5) (-4,5)

m=-5/4 (simplify)

500

Find the slope of the line that includes the following points. (-12,-9) (-3,-3)

m=-4/3 (Simplify)

Graphing Linear Equations

100

What form do we use to graph a linear equation?

The slope intercept form 

y=mx+b

200

When graphing linear equations, where do we begin?

Start at the y-intercept 

300

Graph the following equation. Include at least 3 points on the line. 

y=1/2x-2

Graph should start with b=-2.

Up 1 & right 2

(-4,-4)(-2,-2)(0,-2)(2,-1)(4,0) 

400

Graph the following equation. Include at least three points.

y=2

Horizontal line

(-2,2)(0,2)(2,2)

500

Graph the following equation and include four points on the line. 

y=1/2x-3

Start at (0,-3)

(-2,-4)(0,-3)(2,-2)(4,-1)

Slope Intercept Form

100

Using slope intercept form, what is the slope and y-intercept?

slope = m

y-intercept = b

200

In the following linear equation, what is the y-intercept?    y=-3/4x

y-intercept = 0 

300

Rewrite this equation in slope intercept form.

x+y= -12

y= -x -12

400

Rewrite the following equation in slope intercept form.

3x + 6y = -18

y= -1/2x - 3

500

Rewrite the following equation in slope intercept form.

3.5x - 7y = -21

y= 1/2x + 3

Random!

100

Evaluate: 

-2 -5 

-7

200

Solve for x:

3x - 2 = -14

x= -4

300

What is the slope of this equation? Graph

x=5

Undefined slope 

Vertical line when x=5

400

Graph the following following equation.

8x + 4y = 16

Rewrite equation: y=-2x+4

m= down 2 & right 1

b= 4

500

Is x=2 a solution to the equation:

2(x - 5) +3=13

x=2 is not a solution to the equation

Writing Equations

100

What form of equations do we use for lines?

y=mx+b 

slope intercept form

200

Write an equation for a vertical line through the point (-3,3). Graph the equation

x= -3 

300

Write an equation for a line with the following slope and points. 

m=2/3 (0,-2) (3,0)

y=2/3x -2

400

Write an equation for a line with the following two points. Find the slope and y-intercept 

(15,-10) (5,10)

m=-2

b=20

y=-2x+20

500

Write an equation for a line with the following two points. Find the slope and y-intercept 

(4,3)(-2,-6)

y=3/2x-3

m=up 3 & right 2

b= -3