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 two 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)

-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 linear equations, where do we begin?

We begin at the y-intercept.

300

Graph the following equation. Include at least 3 points. y = 1/3x + 4

Graph should start with the point at (0, 4) Movement should be 1 up and 3 to the right continuing to another point. Movement could also be 1 down and 3 to the left.

400

Graph the following equation. Include at least three points. y = -2

Graph should begin with a point on the y-axis at -2. A horizontal line should be drawn through -2 extending on both sides of the y-axis. This is a zero slope.

500

Graph the following y = -1/2x -5. This should include at least 3 points.

First point should be at (0, -5). From there, count up 1 and over to the left 2. You can also go down one and to the right 2. This should be a negative slope.

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. 3x + y = -18

y = -3x - 18

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

Solve:

3x - 2 = -14

x = -4

300

What is the slope of this equation?

 x = 5

Undefined Slope

400

Graph the following equation. 8x + y = 16

Should be rewritten as y = -4x + 16 and then graphed.

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) (hint - a vertical line is undefined - where does that vertical line cross the x axis?)

x = -3

300

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

 m = 2/3   and (0, -2)

y = 2/3x - 2

400

Write an equation for a line given b = 20 and m = -2.

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?

y = -0.75(8) + 10 y = -6 + 10 y = 4 $4 dollars left after playing 8 games.