Finding Slope
Writing Equations
Making Predictions
100

find the slope of this line:

2

100

A graph has a slope of 1/2 and a y-intercept of 3. What is the equation of this graph?

y = 1/2x + 3

(y = 1/2 * x + 3)

100
I keep buying hot sauce... this graph shows how many hot sauce bottles I have vs. the amount of weeks that pass. How many hot sauce bottles will I have after 9 weeks? 🥵

11 bottles

200

find the slope of this line: 

3/2
200

Use this table to write an equation for y and x:

y = 3x + 2

200

I need to buy pencils based on the amount of students I have, according to the equation

y = 4x

where x is my number of students and y is my number of pencils. How many pencils do I need to buy if I have 10 students?

10 * 4 = 40 pencils

300

the amount that a sandwich costs per inch is told by this equation:

y = 0.5x + 1

where x is the number of inches and y is the amount of dollars. What is the cost per foot of sandwich? (1 foot = 12 inches)

6

or

$6 / 1 foot

300

Write an equation for this graph:

y = 1/2x + 1

300

Elena has money in her bank account according to the equation:

y = 25x + 300

where x is the number of months that pass after right now. Will she be able to afford a $500 computer within a year?

Yes. She has $300 now, and will get another $300 over 12 months (12 * 25), adding up to $600.

400

Zion is walking quickly - this table shows how far he has travelled at certain times. How far does he walk per minute?

80 feet

400

A gym charges $100 when you start a membership and then charges $20 each month. But you only go to the gym 4 times a year. Write an equation for the how much you've paid (y) after you go to the gym x times.

y = 60x + 100

slope: $20 * 3 months = 60

(you could say 60x + 40 if you go right away at the start of the year).

400

Here is the graph of a line - I've given you a couple points on it. Will the point (10, 10) be on this graph? What about the point (12, 16)?

(10, 10) no. (12, 16) yes.

this is the equation y = 4/3x. 4/3 of 10 is not 10. 4/3 of 12 is 16 though.