Chapter 4 4-2 Using Intercepts. SAT Problem of the day.
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Transcript of Chapter 4 4-2 Using Intercepts. SAT Problem of the day.
![Page 1: Chapter 4 4-2 Using Intercepts. SAT Problem of the day.](https://reader035.fdocuments.us/reader035/viewer/2022062221/56649f515503460f94c74a19/html5/thumbnails/1.jpg)
Chapter 4 4-2 Using Intercepts
![Page 2: Chapter 4 4-2 Using Intercepts. SAT Problem of the day.](https://reader035.fdocuments.us/reader035/viewer/2022062221/56649f515503460f94c74a19/html5/thumbnails/2.jpg)
SAT Problem of the day
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solution The right Answer : A
![Page 4: Chapter 4 4-2 Using Intercepts. SAT Problem of the day.](https://reader035.fdocuments.us/reader035/viewer/2022062221/56649f515503460f94c74a19/html5/thumbnails/4.jpg)
Objectives Find x- and y-intercepts and interpret their meanings
in real-world situations.
Use x- and y-intercepts to graph lines.
![Page 5: Chapter 4 4-2 Using Intercepts. SAT Problem of the day.](https://reader035.fdocuments.us/reader035/viewer/2022062221/56649f515503460f94c74a19/html5/thumbnails/5.jpg)
Using Intercepts
What is the y-intercept?
Answer: The y-intercept is the y-coordinate of the point where the graph intersects the y-axis. The x-coordinate of this point is always 0.
What is the x-intercept?
Answer: The x-intercept is the x-coordinate of the point where the graph intersects the x-axis. The y-coordinate of this point is always 0.
![Page 6: Chapter 4 4-2 Using Intercepts. SAT Problem of the day.](https://reader035.fdocuments.us/reader035/viewer/2022062221/56649f515503460f94c74a19/html5/thumbnails/6.jpg)
Example
![Page 7: Chapter 4 4-2 Using Intercepts. SAT Problem of the day.](https://reader035.fdocuments.us/reader035/viewer/2022062221/56649f515503460f94c74a19/html5/thumbnails/7.jpg)
Example#1
Find the x- and y-intercepts.
The graph intersects the y-axis at (0, 1).
The y-intercept is 1.
The graph intersects the x-axis at (–2, 0).
The x-intercept is –2.
![Page 8: Chapter 4 4-2 Using Intercepts. SAT Problem of the day.](https://reader035.fdocuments.us/reader035/viewer/2022062221/56649f515503460f94c74a19/html5/thumbnails/8.jpg)
Example#2
Find the x- and y-intercepts.
The graph intersects the y-axis at (0, 3).
The y-intercept is 3.
The graph intersects the x-axis at (-2, 0).
The y-intercept is -2.
![Page 9: Chapter 4 4-2 Using Intercepts. SAT Problem of the day.](https://reader035.fdocuments.us/reader035/viewer/2022062221/56649f515503460f94c74a19/html5/thumbnails/9.jpg)
Student Guided practice
Do problems 2-4 in your book page 240
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Example#3 Find the x- and y-intercepts.
5x – 2y = 10
Solution
To find the x-intercept, replace y with 0 and solve for x.
5x – 2y = 10
5x – 2(0) = 10
5x – 0 = 10
5x = 10
5x/5 = 10/5
x = 2
The x-intercept is 2.
![Page 11: Chapter 4 4-2 Using Intercepts. SAT Problem of the day.](https://reader035.fdocuments.us/reader035/viewer/2022062221/56649f515503460f94c74a19/html5/thumbnails/11.jpg)
Example#3 continue
To find the y-intercept, replace x with 0 and solve for y.
5(0) – 2y = 10
0 – 2y = 10
– 2y = 10
y = –5
The y-intercept is –5.
![Page 12: Chapter 4 4-2 Using Intercepts. SAT Problem of the day.](https://reader035.fdocuments.us/reader035/viewer/2022062221/56649f515503460f94c74a19/html5/thumbnails/12.jpg)
Example#4 Find the x- and y-intercepts.
–3x + 5y = 30
![Page 13: Chapter 4 4-2 Using Intercepts. SAT Problem of the day.](https://reader035.fdocuments.us/reader035/viewer/2022062221/56649f515503460f94c74a19/html5/thumbnails/13.jpg)
Student guided practice
Do problems 5 to 7 in your book page 240
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Graphing Linear functions
Trish can run the 200 m dash in 25 s. The function f(x) = 200 – 8x gives the distance remaining to be run after x seconds. Graph this function and find the intercepts. What does each intercept represent?
Table:
f(x) = 200 – 8x 200
250 5 10 20x
160 120 40 0
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continue
y-intercept: 200. This is the number of meters Trish has to run at the start of the race.
x-intercept: 25. This is the time it takes Trish to finish the race, or when the distance remaining is 0.
![Page 16: Chapter 4 4-2 Using Intercepts. SAT Problem of the day.](https://reader035.fdocuments.us/reader035/viewer/2022062221/56649f515503460f94c74a19/html5/thumbnails/16.jpg)
Graphing linear equations using intercepts
Use intercepts to graph the line described by the equation.
3x – 7y = 21
![Page 17: Chapter 4 4-2 Using Intercepts. SAT Problem of the day.](https://reader035.fdocuments.us/reader035/viewer/2022062221/56649f515503460f94c74a19/html5/thumbnails/17.jpg)
Example #5
Use intercepts to graph the line described by the equation.
y = –x + 4
![Page 18: Chapter 4 4-2 Using Intercepts. SAT Problem of the day.](https://reader035.fdocuments.us/reader035/viewer/2022062221/56649f515503460f94c74a19/html5/thumbnails/18.jpg)
Example#6
Use intercepts to graph the line described by the equation.
–3x + 4y = –12
![Page 19: Chapter 4 4-2 Using Intercepts. SAT Problem of the day.](https://reader035.fdocuments.us/reader035/viewer/2022062221/56649f515503460f94c74a19/html5/thumbnails/19.jpg)
STUDENT GUIDED PRACTICE
Do problems 9-12 in your book page 240
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Homework!!!
Do problems 13-20, 24 in your book page 240 and 241
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Closure Today we learned about finding the intercepts and
using them to graph the equation.
Next class we are going to learn about rate of change and slope
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Have a great day!!!