Finding Slope of a Line
Graphing Linear Equations
Slope-Intercept Form
Writing Equations
Real World Problems
100
Identify the slope of the following equation. y = mx + b
the variable m
100
When graphing linear equations, where do we begin?
We begin at the y-intercept.
100
What is slope intercept form?
y = mx + b
100

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

x = -3

100

How do you identify the y-intercept in a word problem?

It is the starting amount of the y-value variable

200
Identify the slope of the following equation. y = 2x + 3
slope is 2
200

Describe how you would graph the following equation. 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.

200
In the following linear equation, what is the y-intercept? y = -3/4x
0
200

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

 m = 2/3   and (0, -2),  (3, 0)

y = 2/3x - 2

200

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.

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
300

Describe how you would 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.

300
Rewrite this equation in slope-intercept form. x + y = -12
y = -x - 12
300

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

slope = -2 y intercept = 20

y = -2x + 20

300

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. How many hours did you rent the canoe for if you paid a total of 95 dollars?

2.5 hours

400
Find the slope of the line that includes the following points. (4, -5) (-4, 5)
-10/8 which simplifies to -5/4
400

Describe 3 ordered pairs on the line of the equation. y = 1/2x -5 

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

400
Rewrite the following equation in slope-intercept form. 3x + 6y = -18
y = -1/2x - 3
400

Write the equation that is perpendicular to y=2x-3 and goes through the point (0,9)

y= -1/2 x + 9

400

A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service

C = 25 + 50h

500

Find the slope of the line that that is parallel to the line through the following points. (-12, -9) (-3, -3)

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

500

What is the equation of a line with undefined slope that goes through the point (5,4)?

x = 5

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
500

Write the equation of the line that is parallel to y = -2/3 x + 1 and passes through the point (-6,0)

y = -2/3 x - 4

500

A water tank starts emptying at a constant rate. After 2 hours, it is at 12.5 gallons. After 5 hours, it is at 8 gallons. Find out how much water was in the tank before it started emptying.

15.5 gallons

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