Review - Linear Equations

Finding Slope of a Line

100

Identify the slope of the following equation: 

y = mx + b

the variable m

200

Identify the slope of the following equation: 

y = 2x + 3

slope is 2

300

Name three ways to describe slope.

Possible answers: rate of change rise over run y - y x - x slope = m in y = mx + b

400

Find the slope of the line that includes the following points:

 (4, -5) (-4, 5)

5-(-5)/-4-4

10/-8

-5/4

500

Find the slope of the line that includes the following points:

(-12, -9) (-3, -3)

-9-(-3)/-12-(-3)

-6/-9

2/3

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?

We begin at the y-intercept.

300

Graph the following equation:

y = 1/3x + 4

Graph should start with a point on the y-axis at 4. Movement should be up 1 and 3 to the right.

400

Graph the following equation:

y = -2x-4

Graph should begin with a point on the y-axis at -2. Movement should be down 2 and to the right 1.

500

Graph the following equation:

 -3x+2y = 8

y=3/2x +4

Graph should start with a point on the y-axis at 4. Movement should be up 3 and 2 to the right.

Slope-Intercept Form

100

What is slope intercept form?

y = mx + b

200

In the following linear equation, what is the y-intercept? 

y = -3/4x

0

300

Rewrite this equation in slope-intercept form: 

-2x + y = -12

y = 2x - 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 = 0.5x - 3 or y = 1/2x - 3

RANDOM ?'s

100

Evaluate:

-2 - 5

-7

200

Solve:

3x - 2 = -14

x = -4

300

What is the slope of this equation?

 x = 5

Undefined Slope

400

Graph the following equation: 

8x + 4y = 12

y = -2x +3

Graph should start with a point on the y-axis at 3. Movement should be down 2 and 1 to the right.

500

Is x = 2 a solution to the equation: 

2(x - 5) + 3 = 13  ?

No it is not a solution.

Writing Equations

100

What form of equations do we use for lines?

y = mx + b   or slope intercept form. 

200

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

x = -3

300

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

 m = 2/3   and (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)

slope = -2       y-intercept = 20

y = -2x + 20

500

The amount y(in dollars) of money you have left after playing x games at a carnival is y = -0.75x + 10. How much money do you have after playing eight games? Graph the equation and show your explanation.

y = -0.75(8) + 10 -> y = -6 + 10 -> y = 4

$4 dollars left after playing 8 games. Graph should begin at (0, 10) on the y-axis and move down three and four to the right.