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

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

-6/-9 = 6/9 = 2/3

400

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

-10/8 which simplifies to -5/4

500

Ricardo is draining his pool for the winter. There are 240 gallons in the pool and it is decreasing at a rate of 20 gallons per hour. What is the slope?

-20

Graphing Linear Equations

100

Other than slope-intercept form, what is another form for linear functions?

point-slope form y-y₁=m(x-x₁)

standard form ax+by=c

200

When graphing linear equations in the form y=mx+b, 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, 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.

(0,-5), (2,-4), (4,-3), (6,-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

300

Rewrite this equation in slope-intercept form. 

y - 5 = 3/2(x+4)

y = 3/2x + 11

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

Evaluate:

-2² - 5

-9

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 + 4y = 16

Should be rewritten as y = -2x + 4 and then graphed.

500

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

x=-3

Writing Equations

100

What is point-slope form?

y-y₁=m(x-x₁)

200

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

y = 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. (15, -10) (5, 10)

y = -2x + 20

500

Kayla has $1500 in her bank account.  She spends $150 each week.  Write an equation that represents the relationship between the amount in Kayla’s bank account, A, and the number of weeks she has been spending, w.

A=1500-150w