Download presentation

Published byJake Eves Modified over 3 years ago

1
**Warm up Graph the equation of the line using slope & y-intercept**

4x – 2y = 10

2
**Lesson 8-5 Determining an Equation of a Line**

Objective: To find an equation of a line given the slope and one point on the line, or given two points on the line.

3
**Finding the Equation of a Line**

If you know that the slope-intercept form of a line is y = mx + b then you can find the equation of any line if you know any 2 of the following: a) slope b) y-intercept c) a point on the line d) x-intercept ( some point in which the y is 0) ( where the line crosses the x axis)

4
y = mx + b Example: if the slope is 4 and the y-intercept is -6 then the equation is y = 4x-6

5
Example 2 Write the equation of a line that has a slope of - 3 and an x-intercept of 1/3. Solution: You can plug in the slope immediately so y = -3x + b The x-intercept is just a point on the line where y is 0, so the point is (1/3,0) Any time you have a point you can plug it into the partial equation and then solve for the missing term. 0 = -3(1/3) + b

6
**Now just solve for b so 0 = -1 +b**

Once you have b you can write the equation y = -3x + 1

7
Example 3 Write the equation of the line passing through the points (1,1) and (2,4) Solution: If you have 2 point you can find the slope so 4-1 = 3 = 3 then you can use one of the points the same way we used the x-intercept in example 2 y = 3x + b (using (1,1) 1 = 3(1) + b 1 = 3 + b -2 = b y = 3x -2 is the equation of the line

8
**Practice Find the equation of the line when**

1. slope is 2 and y-intercept is 15 2. slope is -3 and x-intercept -3 3. Line passes through the points (4, - 3), ( 3, -6)

Similar presentations

Presentation is loading. Please wait....

OK

Example 2 Graphing Using Slope-Intercept Form 1

Example 2 Graphing Using Slope-Intercept Form 1

© 2018 SlidePlayer.com Inc.

All rights reserved.

To ensure the functioning of the site, we use **cookies**. We share information about your activities on the site with our partners and Google partners: social networks and companies engaged in advertising and web analytics. For more information, see the Privacy Policy and Google Privacy & Terms.
Your consent to our cookies if you continue to use this website.

Ads by Google

Ppt on intellectual property Ppt on google self driving car Ppt on ill effects of intoxicating substances Ppt on 3 idiots movie last part Ppt on class 10 hindi chapters books Ppt on service oriented architecture and the cloud Pdf to ppt online free converter Ppt on inhabiting other planets Ppt on structure of chromosomes Forms of energy for kids ppt on batteries