Slope Formula Fun
Graphing y=mx+b
Proportional vs. Non-proportonal
Real World Rates
Table Talk
100

Find the slope of the line passing through (2,5) and (4,9)

2

100

In the equation y=3x + 7, which number tells you where to start on the y-axis?

7
100

True or False: Every proportional relationship is a straight line through the origin

True

100

A taxi charges $3 per mile.  Write the equation for the total cost y.

y=3x

100

If x increases by 1 and y increases by 4 every time what is the slope?

4

200

Calculate the slope between (-1, 4) and (3,-8)

-3

200

If a line has a slope of  2/3 , how many units do you move up and how many units do you move right?

Up 2, Right 3.

200

Which of these is non-proportional?

y=5x

y=5x-1


y=5x

200

A plumber charges $50 for a visit plus $25 per hour.  Write the equation.

y=25x+50

200

In a table, if the point (0, -3) is listed, what is the value of b?

-3

300

Find the slope between (5,10) and (5,2).

Undefined

300

What is the equaton of a horizontal line passing through (0, -5)?

y = -5

300

In a table, if x=2 and y=10, and x=3 and y=15.  Is it proportional?

Yes.  k=5

300

A candle is 12 inches tall and melts 2 inches every hour.  Write the equation.

y= -2x+12

300

Find the slope from this table: 

2.       10

4.       20

6.       30

m = 5

400

A line has a slope of  1/2 and passes through (0,6) and (10,y).  What is y?

y=11

400

If a graph starts at (0,2) and goes through (4,3) what is the equation?

y =  1/4 x + 2

400

Why is the equation y=4x+0 considered propotional?

Because the y-intercept is 0, meaning it passes through the origin.

400

You have $100 in your savings account and spend $10 per week.  After how many weeks will you have $0.

10 weeks

400

Find the equation for this table:

1.    5

2.    8

3.    11

y=3x+2

500

What is the slope of a line passing through ( -1/2 , 4) and ( 1/2 , 9)?

m= 5

500

A line has a y-intercept of )0,0) and a slope of -1.  What is the equation?

y = -x

500

A graph is a straight line but passes through (2,5) and (4,10).  Is it proportional?


Yes.  Because the ratio  y/x is constant at 2.5 and it will hit (0,0)

500

A plane descends from 30,000 at a rate of 1,000 feet per minute.  What is the equation for its height.

y= -1000x + 30,000

500

A table shows (2,7) and (4,11).  What is the y-intercept?

b=3