Lesson 6.1a – Writing the Equation of a Line
description
Transcript of Lesson 6.1a – Writing the Equation of a Line
![Page 1: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/1.jpg)
Lesson 6.1a – Writing the Equation of a Line
Concept: Writing Equations of Lines
EQ: How do we write the equation of a line? (G.GPE.5)
Vocabulary: Slope, y-intercept, point-slope formula
![Page 2: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/2.jpg)
Rise Up Run Outhttp://www.youtube.com/watch?v=rBAGAdySKSQ
![Page 3: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/3.jpg)
IntroductionSlope-Intercept form of an equation of a line is:
Y = mx + b“m” represents the slope.“b” represents the y-intercept.
You will use this form when you are given the slope and the y-intercept.
![Page 4: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/4.jpg)
• Slope – how steep a straight line is.
=
• Y-intercept – where the line crosses the y axis.
Where x=0
![Page 5: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/5.jpg)
• Point-Slope Form of an equation of a line is:
y = m(x – x1) +
Where () is your given point and m is the given slope.
Remember to distribute and simplify!
![Page 6: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/6.jpg)
Example 1Write the equation of a line with a
slope of 3 that crosses the y axis at (0, 2).
Do we use Slope-Intercept or Point-Slope?
How do you know?
![Page 7: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/7.jpg)
𝑦=𝑚𝑥+𝑏Slope = m = ________Y-intercept = b = ____________
Final equation of the line:_________________________
![Page 8: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/8.jpg)
Example 2Write the equation of a line with a slope of -2 that passes through the
point (0,5).
Do we use Slope-Intercept or Point-Slope?
How do you know?
![Page 9: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/9.jpg)
𝑦=𝑚𝑥+𝑏Slope = m = ________Y-intercept = b = ____________
Final equation of the line:_________________________
![Page 10: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/10.jpg)
You Try 1 You Try 2Write the equation of a line with a slope of 3 that passes through the point (0,6).
Write the equation of a line with a slope of 5 that passes through the point (0, 3).
![Page 11: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/11.jpg)
Example 3Write the equation of a line that passes through points (2, 4) and (4, 6).
Do we use Slope-Intercept or Point-Slope?
How do you know?
![Page 12: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/12.jpg)
𝑦=𝑚 (𝑥−𝑥1 )+𝑦1Slope = m = = = = 1
Point (): (2, 4)
![Page 13: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/13.jpg)
Example 4Write the equation of a line that passes through points (3, 5) and (6, 11).
Do we use Slope-Intercept or Point-Slope?
How do you know?
![Page 14: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/14.jpg)
𝑦=𝑚 (𝑥−𝑥1 )+𝑦1Slope = m = = = = 2
Point (): (3, 5)
![Page 15: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/15.jpg)
Example 5Write the equation of a line that passes through points (2, 6) and (3, 10).
Do we use Slope-Intercept or Point-Slope?
How do you know?
![Page 16: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/16.jpg)
𝑦=𝑚 (𝑥−𝑥1 )+𝑦1Slope = m = = = = 4
Point (): (2, 6)
![Page 17: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/17.jpg)
You Try 3Write the equation for a line that
passes through the points (2, 2) and (4, 5).
![Page 18: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/18.jpg)
Example 6Write the equation of this line.
![Page 19: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/19.jpg)
Example 6Y-intercept: (0, 4)
b = 4
Slope = m = = = =2
![Page 21: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/21.jpg)
Example 7Write the equation of this line.
![Page 22: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/22.jpg)
Example 7Y-intercept: (0, 3)
b = 3
Slope = m = = = =2
![Page 24: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/24.jpg)
Example 8Write the equation of this line.
![Page 25: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/25.jpg)
Example 8Y-intercept: (0, 6)
b = 6
Slope = m = = = =-1
![Page 27: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/27.jpg)
You Try 4!Write the equation for this line.
![Page 28: Lesson 6.1a – Writing the Equation of a Line](https://reader035.fdocuments.us/reader035/viewer/2022070421/5681636a550346895dd44664/html5/thumbnails/28.jpg)
Ticket Out The Door1. Write the equation of a line that
passes through:(1, 5) and (6, 0)
2. Write the equation of a line with a slope of 3 that crosses the y-axis at
(0, 3).