Linear and Proportional Relationships

Linear or nonlinear

100

y=2x

linear

200

y=3x+4

linear

300

y=-1/3x+3

nonlinear

400

y=2/1x+1

nonlinear

Finding Slope

100

The slope of two coordinates (0,0) and (3,2).

2/3

200

What is the slope of y=-5x+14

-5

300

What is the slope of the line with the coordinates (3,-7) and (-4,2)

9/-7

400

The slope of the line containing (2,8), (-1,-4)

4

Equations

100

Y=50+2(x)  What kind of relationship is this?

Linear Relationship

200

Y=175-15(x) What is the y-intercept of this equation?

175

300

Y=35(x)+ 45 What is the slope of this equation?

35

400

Create a table or graph to this equation. Y=25x+5

Table:Should start at 5 and increase 25 for each x value you increase by.

Graph: Should start at points (0,5) and should have the steps going up 25 over 1.

Word Problems

100

Henri got a 45 meter head start in a race. He is walking at a rate of 1 meter per second. What kind of relationship is this?

Linear relationship

200

I score two soccer goals each game. Create a table.

Table should start at (0,0) and go up two goals each game.

300

My mom gave me 20 dollars to help me fill my piggy bank. After this I saved 2 dollars each week. Create a graph.

Graph should start at the point (0,20) and should go up 2 in the y axis each time it goes over 1 in the x axis.

400

Water World has a season pas that costs 20 dollars plus an additional 10 dollars each visit. Create a equation for this.

Y=10x+20