Review - Linear Equations

Finding Slope of a Line

100

What variable represents 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, y₂ - y₁/ x₂ - x_1,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 forms have we use to graph a linear equation?

the slope-intercept form y = mx + b and standard form

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. 1/3y = 1/3x + 1

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

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.

500

Make a table of values with at least 4 ordered pairs for the following equation. y = 1/2x -5 Then plot the ordered pairs. Draw a line through the points.

Table should list four numbers chosen for x and then solved by multiplying by 1/2 and subtracting 5. If x is 2 then If x is 4 then 1/2(2) = 1 - 5 1/2(4) = 2 - 5 then y = -4 then y = -3

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. 1/2x + 1/4y = -12

y = -2x - 48

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

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

RANDOM

100

Evaluate: f(2)

Given: f(x) = -x² + 3(x-4) 

-10

200

Solve:

-3/2x - 2 > -14

x < 8

300

What is the slope of this equation?

 x = 5

Undefined Slope

400

Graph the following equation. 8x + 4y = 16

y-intercept should be at 4 and slope should be 2

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 line parallel to the line y = 3x +4 and passes through through the point (-3, 3).

y = 3x + 12

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 of a line with the following two points: (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 units and four units to the right.