Slope
Slope-Intercept Form
What kind of association?
Scatterplots
100
What is the slope of the equations below: y=2x+3
2
100
What is slope-intercept form and what are the two things you need in order to write an equation in slope-intercept form?
y=mx+b; you need slope (m) and y-intercept (b)
100

Describe the relationship: As you run more, you sweat more.

Positive, linear relationship.

100

(see scatterplot picture 1) Does this scatterplot resemble a positive, negative, or no correlation?

positive

200
What is the slope of the line that passes the points: (-3,7) (5,9)
1/4
200
Write an equation in slope-intercept form given the following information: slope: 1/2 y-intercept: (-7)
y=1/2x-7
200

Years since you purchased a car and the value of that car.

Negative (as years go by, the value goes down)

200

Why do we create a line of best fit?

To try and approximates the data for any given value. It helps us predict what different values that we did not plot would be.

300
What is the slope of the line passing through the following points: (-1,-7) and (5,-10)
-1/2
300
Write an equation given the following information: slope: -5 line goes through the point (-2,3)
y=-5x-7
300

Size of diamonds in carats and the price.

Positive, linear.
300

Reference Scatterplot 2: Approximately, what we project sales to be if the temperature was 20 degrees Celsius?

Approximately 450 dollars, maybe a little more.

400
What is the rate of change of the line passing through the following points: (-12,0) and (-5,-11)
-11/7
400
Write an equation of a line that passes through the following two points: (-8,-6) and (3,-4)
y=6x+28
400

Eye color and the amount of hours spent playing video games

No correlation!

400

See scatterplot three: What is the slope of this line of best fit?

m = 2/0.75 or 2.6 repeating
500

Write an equation from the following information: a line with a y-intercept of (0,4) that passes through the point (-5,-6).

m = -10/-5 = 2

y-int = (0,4)

y=2x+4

500

Put the following equation into slope-intercept form: y-12=-4(x+2)

y=-4x+4

500

Time and a stocks value that doubles every year.

Positive and nonlinear! This is an exponential function.

500

See scatterplot 4: Complete describe the association of these two variables for both of the scatterplots.

Scatterplot 1: Strong, positive, linear association with no outliers.

Scatterplot 2: Moderate, negative, linear association with one outlier at (23,17)