Interpreting functions/ tables/graphs Slope-intercept form Standard forms X and Y intercepts Parallel and Perpendicular functions 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

Create a linear function for the following table Weeks 2 4 6 8 Profit($) 100 200 300 400

y = 50x

Jess has been given a certain number of stamps Jess has been given a certain number of stamps. He plans to collect a constant amount each month. Y = 4x + 20 Describe what 4 and 20 mean in the situation.

The 4 represents the number of stamps he will collect each month, and 20 represents how many stamps he was already given.

Describe what you would expect to see in the graph of equation y = x – 30

The graph would have a y-intercept at -30 and a slope of 1, ( for each increase of 1 in x, y would increase by 1.)

Draw and label lines on a coordinate grid: a) positive slope b) negative slope c) slope of zero d) undefined slope

Increasing line Decreasing line Horizontal line Vertical line

Marc has a new job and earns $11 per hour, but has to pay a one time worker’s fee at school. Solve the equation 79 = 11x – 20 and explain the solution.

When he works 9 hours, he will earn $79 after the fee is deducted. X = 9. When he works 9 hours, he will earn $79 after the fee is deducted.

Write an equation of the line containing the point (-2,6) and also contains the origin.

y = -3x or y = -3x +0

In the equation y = - 6 Determine the slope and y-intercept

Slope = ½ y-intercept: -6

Write a linear function for the following table x 0 1 2 3 y -6 1 8 15

Y = -6 + 7x or y = 7x – 6 or y = 7x + -6

A ladder is placed 5 feet from the base of a building A ladder is placed 5 feet from the base of a building. The top of the ladder is 15 feet above ground on the side of the building. What is the slope of the ladder?

Slope of 15/3 or 5

Write an equation in slope-intercept form for the line containing the point (3,6) and a slope of 2

y = 2x + b 6 = 2·3 + b 6 = 6 + b b = 0 y = 2x

Jenny rents bikes. She charges $9 for adults and $5 for kids Jenny rents bikes. She charges $9 for adults and $5 for kids. Write an equation in standard form that describes how many bikes can be rented for $100.

9x + 5y = 100 x: # adults y: # kids

What are the slope and y-intercept of the line 5x – 2y = 7

Slope of 5/2 (or 2.5) y- intercept of (0,-7/2)

Rewrite into standard form: y = 7x + 2

-7x +y = 2 or 7x – y = -2

Which equation has the same slope as 4x – 3y = 8? a) y = 3 + x b) y = 2 – x

a) y = 3 + x

Graph the equation 2x – 3y = 8 by finding the intercepts.

Y- intercept (0, -8/3) x- intercept (4,0)

Given: y = 3x – 1 Find the y- intercept and x-intercept

y- intercept (0,-1) x-intercept: (1/3,0)

Given y = 2x Find the x-intercept and y-intercept

y-intercept: (0,0) x-intercept : (0,0)

Use intercepts to graph 7x – y = 3

y-intercept (0,-3) x-intercept: (3/7,0)

Find the x intercept and y intercept 3x – 2y = -6

y-intercept: (0,3) x-intercept: (-2,0)

If a line hits the x-axis at x = -2 and the y-axis at y = 3, write an equation in slope-intercept form.

(-2,0) and (0,3) Slope: 3/2 and y-intercept: 3 y = 3/2x + 3

Which line is parallel to y = -2x – 1 a) y = 2x + 7 b) y = -3 – 2x c) y = -1 + 1/2x d) y = 2x + 1

b) y = - 3 – 2x

A line perpendicular the 3x + 2y = 6 a) y = x + 2 b) y = x + 1 c) y = 4 + x

c) y = 4 + x

Graph y = 2/3x + 1. Then sketch a line perpendicular to that and write its equation.

y = -3/2x + ?

Graph y = 5x and graph a line parallel and write its equation.

Y = 5x + ?

Write an equation that would be parallel to y = 7

y = any constant They are all horizontal y= 6 y = -2