Chapter 5 - Linear Functions

Slope Intercept

100

What is the formula for Slope Intercept form?

Y = mx + b

200

What is the slope in the equation:

Y = 3x + 2

Slope = 3

300

What would be our starting coordinate to graph this equation:

Y = 5x - 2

Coordinate (0, -2)

Y-intercept of -2

400

Graph the following equation:

Y = 1/2x + 4

Y-intercept = 4

Slope = 1/2

(Check Graph)

500

Write the Slope Intercept form of a line given 2 points:

(3, 5) and (5, 1)

Y = -2x + 11

Point Slope

100

What is the formula for Point Slope form?

y - y1 = m(x - x1)

200

What is the starting point for the equation:

Y - 2 = 3(x - 1)

Coordinate (1, 2)

300

What is the starting point for the equation:

Y + 3 = 0.5(x - 7)

Coordinate (7, -3)

400

Graph the following line:

Y - 1 = -(x + 4)

Starting Point (-4, 1)

Slope = -1

(Check Graph)

500

Write the Point Slope form of a line given 2 points:

(4, 1) and (6, 2)

Y - 1 = 1/2(x - 4)

or

Y - 2 = 1/2(x - 6)

Standard Form

100

What is the formula for Standard form?

Ax + By = C

200

What is the x-intercept of this equation:

3x + 2y = 6

x = 2

Coordinate (2,0)

300

Find both intercepts for the equation:

5x + 2y = 12

x = 12/5 or 2.4

y = 6

400

Graph the equation and label the intercepts:

3x - 4y = 24

x = 8

y = -6

(Check graph)

500

Graph the equation and label the intercepts:

3x + 5y = 20

x = 20/3 or 6.666

y = 4

(Check Graph)

Absolute Value Graphs

100

What does absolute value represent?

Distance from zero

(Turns any negative into a positive)

200

Which letter of the Alphabet, looks like an absolute value graph?

V

300

Describe the translation the following equation has applied to it:

Y = |x| - 2

Down 2 spaces

400

Describe the translation the following equation has applied to it:

Y = |x + 4| + 1

Left 4 spaces

Up 1 space.

500

Describe the translation the following equation has applied to it:

Y = -|x - 1| - 3

Flipped upside down (Reflected)

Right 1 space

Down 3 spaces

Scatter Plots

100

What are the three different types of correlation?

Positive, Negative, and No Correlation

200

Positive, Negative, or No Correlation?

Time spent brushing teeth, and whiteness of your teeth.

Positive Correlation

300

Positive, Negative, or No Correlation?

College degree, and intelligence.

No Correlation

400

Create a trend line using these 2 points:

(4, 7) and (10, 13).

Estimate when x = 7.

When x = 7, y = 10.

(7, 10)

500

Plot the following points.

(3, 6) (2, 4) (7, 9) (5, 6) (6, 7) (2, 3) (9, 12)

Create a trend line, and estimate x = 10.

(Answers will vary)