unit 5: review unit 5: analytic geometry consider this table of values. does it represent a linear...

Unit 5: Review Unit 5: Analytic Geometry

Consider this table of values.

Does it represent a linear relationship?

What is the slope?

What is the y-intercept?

What is the equation?

Can you graph it?


Use the table of values to graph the line.


Learning Goals:

I can find the slope between two points using a graph

I know the formula for calculating the slope of a line

I can use the formula to find the slope between two points.


• The x-intercept is the point where the line crosses the x-axis.

Its y-coordinate is 0. • The y-intercept is the point

where the line crosses the y-axis. Its x-coordinate is 0. The y-

intercept is represented by “b”

Unit 5: Analytic Geometry

Remember all the different ways we can represent slope.

m = slopem =

m =

m =

m =

Rise: The vertical distance between two points

Run: The horizontal distance between two points

Unit 5: Review


Remember that slope is a measure of the steepness of a line.

As a line gets steeper its slope

As a line becomes more flat its slope

A line with a positive slope

A line with a negative slope


Can you find the slope of this line?


Find the slope of the line that passes through the points (5, -2) and (3, 6)


Find the slope of the line that has an x-intercept of -5 and a y-intercept of 7.


Learning Goals:

I can write the equation of a line given different pieces of information about the line.


The Equation of a Line is given by: y = mx + b where “m” is the slope and “b” is the y-intercept.


• Parallel lines have slopes that are the same.• For example…. The line y = 3x – 6 is parallel to the

line y = 3x + 1. I know because the slopes are the same.

• Perpendicular lines have slopes that are negative reciprocals.

• For example…. The line y = 7x + 2 is perpendicular to the line y = know because the slopes are negative reciprocals.


• Horizontal lines have a slope of zero.• Their equations look like y = #

• Vertical lines have a slope that is undefined. • Their equations look like x = #


Write the equation of a line that has a slope of 7 and a y-intercept of 9.


A line has an x-intercept of -3. and a slope of 4. What is the equation of the line?


Find the equation of the line that has a slope that is undefined and goes through the point (-4, -10).


Find the equation of the line that is passes through the point (2, -3) and is parallel to the line y = -


Find the equation of the line that passes through the point (-2, 6) and is perpendicular to y = 4x – 2.


What is the equation of a line that has a slope of zero and goes through the point (6, -5)?


Learning Goal

• I can interpret the meaning of slope and y-intercept for a variety of word problems.


• Nico got a job wrapping presents over the holidays. The equation P = x + 50 represents his pay where P is his total pay per day and x is the number of presents he wraps.

• What is the slope and what does it represent?

• What is the y-intercept and what does it represent?


• Nico got a job wrapping presents over the holidays. The equation P = x + 50 represents his pay where P is his total pay per day and x is the number of presents he wraps.

c) How much would Nico get paid if he wrapped 300 presents?


• Samantha purchased the original red ruby shoes worn by Dorothy in the Wizard of Oz. As the shoes are a collectible item they are expected to increase in value as represented by the equation

V = 250,000 + 75t where V is the value of the shoes and t is the number of years since she purchased the shoes.

a) What is the slope and what does it represent?

b) What is the y-intercept and what does it represent?


• Samantha purchased the original red ruby shoes worn by Dorothy in the Wizard of Oz. As the shoes are a collectible item they are expected to increase in value as represented by the equation

V = 250,000 + 75t where V is the value of the shoes and t is the number of years since she purchased the shoes.

c) How much will the shoes be worth in 15 years?


Learning Goal

I can determine the rate of change of segments of a time-distance graph.


During which section of the graph does Rena travel the fastest?

What do the negative slopes represent?

unit 5: review unit 5: analytic geometry consider this table of values. does it represent a linear...

Documents