1. Unit 5: Analytic Geometry
Unit 5: Review
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?

2. Unit 5: Analytic Geometry
Unit 5: Review
Use the table of values to graph the line.

3. Unit 5: Analytic Geometry
Unit 5: Review
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.

4. Unit 5: Analytic Geometry
Unit 5: Review
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”

5. Unit 5: Analytic Geometry
Unit 5: Review
Remember all the different ways we can represent slope.
m = slope
Rise: The vertical distance between two points
Run: The horizontal distance between two points
m = 𝑅𝑖𝑠𝑒 𝑅𝑢𝑛
m = 𝐷𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒 𝑏𝑒𝑡𝑤𝑒𝑒𝑛 𝑦−𝑣𝑎𝑙𝑢𝑒𝑠 𝐷𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒 𝑏𝑒𝑡𝑤𝑒𝑒𝑛 𝑥−𝑣𝑎𝑙𝑢𝑒𝑠
m = ∆𝑦 ∆𝑥
m = 𝑦2−𝑦1 𝑥2−𝑥1

6. Unit 5: Analytic Geometry
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

7. Unit 5: Analytic Geometry
Unit 5: Review
Can you find the slope of this line?

8. Unit 5: Analytic Geometry
Unit 5: Review
Find the slope of the line that passes through the points (5, -2) and (3, 6)

9. Unit 5: Analytic Geometry
Unit 5: Review
Find the slope of the line that has an x-intercept of -5 and a y-intercept of 7.

10. Unit 5: Analytic Geometry
Unit 5: Review
Learning Goals:
I can write the equation of a line given different pieces of information about the line.

11. Unit 5: Analytic Geometry
Unit 5: Review
The Equation of a Line is given by:
y = mx + b
where “m” is the slope and “b” is the y-intercept.

12. Unit 5: Analytic Geometry
Unit 5: Review
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 = − 1 7 −3. 𝐼 know because the slopes are negative reciprocals.

13. Unit 5: Analytic Geometry
Unit 5: Review
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 = #

14. Unit 5: Analytic Geometry
Unit 5: Review
Write the equation of a line that has a slope of 7 and a y-intercept of 9.

15. Unit 5: Analytic Geometry
Unit 5: Review
A line has an x-intercept of -3. and a slope of 4. What is the equation of the line?

16. Unit 5: Analytic Geometry
Unit 5: Review
Find the equation of the line that has a slope that is undefined and goes through the point (-4, -10).

17. Unit 5: Analytic Geometry
Unit 5: Review
Find the equation of the line that is passes through the point (2, -3) and is parallel to the line y = 𝑥+9.

18. Unit 5: Analytic Geometry
Unit 5: Review
Find the equation of the line that passes through the point (-2, 6) and is perpendicular to y = 4x – 2.

19. Unit 5: Analytic Geometry
Unit 5: Review
What is the equation of a line that has a slope of zero and goes through the point (6, -5)?

20. Unit 5: Analytic Geometry
Unit 5: Review
Learning Goal
I can interpret the meaning of slope and y-intercept for a variety of word problems.

21. Unit 5: Analytic Geometry
Unit 5: Review
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?

22. Unit 5: Analytic Geometry
Unit 5: Review
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?

23. Unit 5: Analytic Geometry
Unit 5: Review
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, t
where V is the value of the shoes and t is the number of years since she purchased the shoes.
What is the slope and what does it represent?
What is the y-intercept and what does it represent?

24. Unit 5: Analytic Geometry
Unit 5: Review
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, t
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?

25. Unit 5: Analytic Geometry
Unit 5: Review
Learning Goal
I can determine the rate of change of segments of a time-distance graph.

26. Unit 5: Analytic Geometry
Unit 5: Review
During which section of the graph does Rena travel the fastest?
What do the negative slopes represent?

27. Unit 5: Analytic Geometry
Unit 5: Review