Writing Equations Of Lines
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Transcript of Writing Equations Of Lines
![Page 1: Writing Equations Of Lines](https://reader036.fdocuments.net/reader036/viewer/2022082704/55864fced8b42a713d8b46e5/html5/thumbnails/1.jpg)
Writing Equations of Lines
![Page 2: Writing Equations Of Lines](https://reader036.fdocuments.net/reader036/viewer/2022082704/55864fced8b42a713d8b46e5/html5/thumbnails/2.jpg)
Do Now: Answer each of the following questions based on the graph
1. What is the slope of the line?
2. What is the y-intercept?
3. What is the equation of the line?
![Page 3: Writing Equations Of Lines](https://reader036.fdocuments.net/reader036/viewer/2022082704/55864fced8b42a713d8b46e5/html5/thumbnails/3.jpg)
How do we write equations of lines?
1. Determine the slope
2. Determine the y-intercept
3. Sub slope (m) and y-intercept (b) into
y = mx + b
![Page 4: Writing Equations Of Lines](https://reader036.fdocuments.net/reader036/viewer/2022082704/55864fced8b42a713d8b46e5/html5/thumbnails/4.jpg)
Practice:
1. What is the slope of the line?
2. What is the y-intercept?
3. What is the equation of the line?
![Page 5: Writing Equations Of Lines](https://reader036.fdocuments.net/reader036/viewer/2022082704/55864fced8b42a713d8b46e5/html5/thumbnails/5.jpg)
Practice:
1. What is the slope of the line?
2. What is the y-intercept?
3. What is the equation of the line?
![Page 6: Writing Equations Of Lines](https://reader036.fdocuments.net/reader036/viewer/2022082704/55864fced8b42a713d8b46e5/html5/thumbnails/6.jpg)
How do we write equations of lines without the graph?
1. Example: Write an equation of the line whose slope is 3 and passes through the point (1,4).
1. What is slope (m)?
2. To find y-intercept:
a. Sub m, x and y into y=mx +b
b. Solve for b
3. Sub m and b into y=mx +b
![Page 7: Writing Equations Of Lines](https://reader036.fdocuments.net/reader036/viewer/2022082704/55864fced8b42a713d8b46e5/html5/thumbnails/7.jpg)
Practice
2. Example: Write an equation of the line whose slope is - 2 and passes through the point (2,-3).
1. What is slope (m)?
2. To find y-intercept:
a. Sub m, x and y into y=mx +b
b. Solve for b
3. Sub m and b into y=mx +b
![Page 8: Writing Equations Of Lines](https://reader036.fdocuments.net/reader036/viewer/2022082704/55864fced8b42a713d8b46e5/html5/thumbnails/8.jpg)
How do we write equations of lines without the graph?
3. Example: Write an equation of the line that passes through the points (2,6) and (-2,10).
1. Find slope (m) using slope formula
2. To find y-intercept, pick one of the points given:
a. Sub m, x and y into y=mx +b
b. Solve for b
3. Sub m and b into y=mx +b
![Page 9: Writing Equations Of Lines](https://reader036.fdocuments.net/reader036/viewer/2022082704/55864fced8b42a713d8b46e5/html5/thumbnails/9.jpg)
Practice:
4. Example: Write an equation of the line that passes through the points (-1,-2) and (2,10).
1. Find slope (m) using slope formula
2. To find y-intercept, pick one of the points given:
a. Sub m, x and y into y=mx +b
b. Solve for b
3. Sub m and b into y=mx +b
![Page 10: Writing Equations Of Lines](https://reader036.fdocuments.net/reader036/viewer/2022082704/55864fced8b42a713d8b46e5/html5/thumbnails/10.jpg)
How do we write equations of lines without the graph?
5. Write the equation of a line whose slope is - 3 and
y-intercept is 1.
1. Find slope (m)
2. Find y-intercept (b)
3. Substitute into y=mx+b
![Page 11: Writing Equations Of Lines](https://reader036.fdocuments.net/reader036/viewer/2022082704/55864fced8b42a713d8b46e5/html5/thumbnails/11.jpg)
Practice
6. Write the equation of a line whose slope is 1/2 and
y-intercept is -3.
1. Find slope (m)
2. Find y-intercept (b)
3. Substitute into y=mx+b
![Page 12: Writing Equations Of Lines](https://reader036.fdocuments.net/reader036/viewer/2022082704/55864fced8b42a713d8b46e5/html5/thumbnails/12.jpg)
Practice
7. What is the equation of the line that is parallel to y - 2x = 4 and whose y-intercept is –1?
1. Find slope (m)
2. Find y-intercept (b)
3. Substitute into y=mx+b
![Page 13: Writing Equations Of Lines](https://reader036.fdocuments.net/reader036/viewer/2022082704/55864fced8b42a713d8b46e5/html5/thumbnails/13.jpg)
Practice
8. What is the equation of the line that is parallel to y + 3x = 2 and whose y-intercept is 4?
1. Find slope (m)
2. Find y-intercept (b)
3. Substitute into y=mx+b
![Page 14: Writing Equations Of Lines](https://reader036.fdocuments.net/reader036/viewer/2022082704/55864fced8b42a713d8b46e5/html5/thumbnails/14.jpg)
Practice
9. Write an equation of the line that is perpendicular to
y = 2x + 4 and whose
y-intercept is 2?
1. Find slope (m)
2. Find y-intercept (b)
3. Substitute into y=mx+b
![Page 15: Writing Equations Of Lines](https://reader036.fdocuments.net/reader036/viewer/2022082704/55864fced8b42a713d8b46e5/html5/thumbnails/15.jpg)
Practice
10.Write an equation of the line that is perpendicular to
y = ½ x - 2 and whose
y-intercept is 1?
1. Find slope (m)
2. Find y-intercept (b)
3. Substitute into y=mx+b