slope intercept form graph an equation using the slope and the y intercept and write an equation of...
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![Page 1: Slope Intercept Form Graph an equation using the slope and the y intercept and write an equation of a line](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfc61a28abf838ca74d6/html5/thumbnails/1.jpg)
Slope Intercept Form
Graph an equation using the slope and the y intercept and write an
equation of a line.
![Page 2: Slope Intercept Form Graph an equation using the slope and the y intercept and write an equation of a line](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfc61a28abf838ca74d6/html5/thumbnails/2.jpg)
Slope and y intercept
y = 3/2x - 4
y = 3/2x + 3
(0, ?)
(0, ?)
![Page 3: Slope Intercept Form Graph an equation using the slope and the y intercept and write an equation of a line](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfc61a28abf838ca74d6/html5/thumbnails/3.jpg)
Vocabulary
• y – intercept : where the line crosses the y axis.
• Slope – intercept form: y = mx + bm = slopeb = y – intercept
![Page 4: Slope Intercept Form Graph an equation using the slope and the y intercept and write an equation of a line](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfc61a28abf838ca74d6/html5/thumbnails/4.jpg)
Identify the slope and y - intercept
1. y = 3x – 2
2. Y = -2x – 8
M = 3B = -2
M = -2B = -8
![Page 5: Slope Intercept Form Graph an equation using the slope and the y intercept and write an equation of a line](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfc61a28abf838ca74d6/html5/thumbnails/5.jpg)
Graph
• y = 1/3x + 5
![Page 6: Slope Intercept Form Graph an equation using the slope and the y intercept and write an equation of a line](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfc61a28abf838ca74d6/html5/thumbnails/6.jpg)
Graph
• y = 2/3x - 6
![Page 7: Slope Intercept Form Graph an equation using the slope and the y intercept and write an equation of a line](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfc61a28abf838ca74d6/html5/thumbnails/7.jpg)
Graph
• y = 2/5x + 1
![Page 8: Slope Intercept Form Graph an equation using the slope and the y intercept and write an equation of a line](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfc61a28abf838ca74d6/html5/thumbnails/8.jpg)
Graph
• y = -x - 1
![Page 9: Slope Intercept Form Graph an equation using the slope and the y intercept and write an equation of a line](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfc61a28abf838ca74d6/html5/thumbnails/9.jpg)
What are the slope and y – intercept of y = x?
![Page 10: Slope Intercept Form Graph an equation using the slope and the y intercept and write an equation of a line](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfc61a28abf838ca74d6/html5/thumbnails/10.jpg)
Write an equation of the line. Use slope intercept form. Y = mx + b
What is the y – intercept (b)?
What is the Slope (m)?
2
-2
y = 2x - 2
![Page 11: Slope Intercept Form Graph an equation using the slope and the y intercept and write an equation of a line](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfc61a28abf838ca74d6/html5/thumbnails/11.jpg)
Write an equation of the line. Use slope intercept form. Y = mx + b
What is the y – intercept (b)?
What is the Slope (m)?
1
3
y = x + 3
![Page 12: Slope Intercept Form Graph an equation using the slope and the y intercept and write an equation of a line](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfc61a28abf838ca74d6/html5/thumbnails/12.jpg)
Group Challenge
• Why is it impossible for any point to lie on both y = 3x + 5 and on y = 3x – 2? Use a graph to illustrate your explanation.
![Page 13: Slope Intercept Form Graph an equation using the slope and the y intercept and write an equation of a line](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfc61a28abf838ca74d6/html5/thumbnails/13.jpg)
Write an equation of the line. Use slope intercept form. Y = mx + b
What is the y – intercept (b)?
What is the Slope (m)?
1/2
4
y = 1/2x + 4
![Page 14: Slope Intercept Form Graph an equation using the slope and the y intercept and write an equation of a line](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfc61a28abf838ca74d6/html5/thumbnails/14.jpg)
Explain why it is impossible for any for any point to lie on both y = 3x + 5 and y = 3x -2? Use a graph to illustrate your explanations.
Group Challenge