Review - Linear Equations

Finding Slope of a Line

100

Which variable represents slope? 

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

change in y over change in x

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

When graphing a line in slope-intercept form, where should you start?

at the y-intercept (b)

200

When graphing a line in point-slope form, where should you start?

At the point (x_{1 ,} y₁)

300

Explain how to graph the following equation. 

y = -1/3x + 4

Start at point (0, 4) 

From that point, go up 1, left 3 OR down 1, right 3

400

Explain how to graph the following equation. 

 y = -2

Begin at the point (0, -2)

Extend the line through -2 on both sides of the y-axis

500

Explain how to graph the line y + 4 = -3/2x

Start at point (0, -4)

Go down 3, right 2 OR up 3, left 2

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, 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 ?'s

100

Describe the equation for a vertical line

x = c, where c is the x-value for each point

200

What is the x-intercept of the following equation

y = 3x + 5

x = -5/3 

or (-5/3, 0)

300

What is the slope of this equation?

 x = 5

Undefined

400

Rewrite the following equation in slope-intercept form. 

8x + 4y = 16

y = -2x + 4

500

Is x = 2 a solution to the equation?

2(x - 5) + 3 = 13

No it is not a solution.

Writing Equations

100

Name two types of equations we use for linear functions.

y = mx + b / slope intercept form

y - y₁ = m(x - x₁₎ / point-slope form

200

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

x = -3

300

Write an equation in slope-intercept form 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 in slope-intercept form for a line with the following two points. Find the slope and y intercept. (15, -10) (5, 10)

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? 

$4 dollars left after playing 8 games.