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 

(2,0) (0,4)

slope is -2

300

Find the slope of the line from the following equation 2x+3y=5

m=-2/3

400

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

y=-5/4x-5

500

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

y= 2/3x-1

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.

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

Adding and Subtracting Integers

100

(-4)+(-5)-(-9)

0

200

(-1)+(-89)+(-80)-62

-221

300

(-1)+(-80)+84+(-40)

-37

400

(-51)-100(-72)+(-7)

4

500

(-89)+(-1)-(-72)-62

-80

Standard Form

100

Write the slope-intercept form of the equation of line.

x-y=-6

y=x+6

200

Write the slope-intercept form of the equation of line.

x+y=6

y=-x+6

300

Name the x and y intercepts

2x+3y=6

x=3

y=2

400

Write the standard form of the equation of each line given the slope and y-intercept 

m=10/3      y-int=-5

10x-3y=15

500

Write in slope intercept form 

3x+y=0

y=-3x

Parallel and Perpendicular

100

The slope of parallel lines is...

The same 

200

The slope of perpendicular lines is....

Opposite Reciprocal 

300

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

(-1,-5)   y=-3/4x

y =-3/4x-23/4

400

Write an equation for a line with the following 

(-5,0) parallel to y=1/5x

y=1/5x+1

500

Write the equation of the line perpendicular to...

(2,-4)   y=2/7x+3

y=-7/2x+3