Review - Linear Equations

Finding Slope of a Line

100

Identify the slope of the following equation. y = -5x + 9

-5

200

Identify the slope of the following equation. y -2x = 3

slope is 2

300

Name two ways to describe slope.

Possible answers: constant rate of change; change in y over change in x; rise over run; y₂ - y₁ / x₂ - x₁ ; m in y = mx + b

400

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

-10/8 which simplifies to -5/4

500

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

-6/-9 = 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 a linear equation in slope-intercept form, where do we begin?

We begin at the y-intercept.

300

Which point in on the line represented by y = 1/3x + 4?

A. (18, 11)

B. (-27, -5)

C. (-3, 5)

B. (-27, -5)

400

Are the lines parallel, perpendicular, or neither

y = -5x + 8

4y = -20x - 14

Parallel

500

Are the lines parallel, perpendicular, or neither?

y - 18 = 3x

6y + 3x = 18 

Perpendicular

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. x + y = -12

y = -x - 12

400

Rewrite the following equation in slope-intercept form. 8x + 6y = -27

y = -4/3x - 4.5

500

Rewrite the following equation in slope-intercept form. 3.5x - 7y = -21

-7y = -3.5x + 21 y = 0.5x - 3 or y = 1/2x - 3

RANDOM ?'s

100

Evaluate:

-2 - 5

-7

200

What is the slope of this equation:

y = -8

0

300

What is the slope of this equation?

 x = 5

Undefined Slope

400

Does the table represent a linear or non-linear relationship?

x   -4   -2   0     2      4

y    4   -1  -6   -11   -16

Linear

500

If given an equation in slope-intercept form, how do you find the x-intercept?

Substitute 0 for y

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

You go to a carnival with $45.  You pay a $10 entrance fee and you pay to go on 4 rides (each ride costs the same).  You have $25 left.  Write an equation to represent how much it costs to go to the carnival.

y = 2.5x + 10