Linear Relationships

Find the slope

100

"Look At This Graph!"

y=2x+1

200

"Look At This Graph!" 

y=4/3x-2

300

(2, 6) (4, 12)

3

400

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

5/-11

Which points are on the graph?

100

2x + 3y = 15

a. (3, 3)

b. (4, 1)

c. (2, 5)

d. (8, 10)

a. (3, 3)

200

10x + 2y = 54

a. (5, 4)

b. (50, 4)

c. (4, 7)

d. (2, 17)

c. (4, 7)

d. (2, 17)

300

3x + 2y = 21

a. (4, 12)

b. (5, 3)

c. (6, 1)

d. (7, 0)

b. (5, 3)

d. (7, 0)

400

5y - 2x = 17

a. (4 ,  5)

b. (-1, 3)

c. (-4, 2)

d. (9, 7)

a. (4, 5)

b. (-1, 3)

d. (9, 7)

Create an equation

100

A new video game releases. It costs $50 to buy the game PLUS an additions $5 per month charge for the online gameplay.

y=5x+50

200

You want to use ALL of your money to buy skittles and mambas. Skittles cost $.75 each and mambas cost $.50 each. You have $11 to spend.

.75s + .50m = 11

300

Twix come in 2 per package. KitKats come in 4 per package (when you break them). You are only allowed to eat 12 pieces of candy per week.

2t + 4k = 12

400

After January's art theme, you want to go to the Art Institute of Chicago. Uber and Lyft are down so you need to take a taxi. The taxi costs $4 to get in plus $.50 per mile.

y=.50x+4

Definitions

100

shows how steep a straight line is. The m in y=mx+b.

Slope

200

The spot on a line the crosses the y-axis. The b in y=mx+b.

y-intercept.

300

It is the "slope formula" we use to find the slope when given two points.

y2-y1 / x2-x1

400

slope-intercept formula.

The formula that includes both slope and the y-intercept.

y=mx+b