Download presentation

1
**2.4 Writing the Equation of a Line**

2
**Review of Slope-Intercept Form**

The slope-intercept form of a linear equation is y = mx + b. m represents the slope b represents the y-intercept

3
**Review of Slope-Intercept Form**

Name the slope and y-intercept of each equation: m = -4, b =3 m = , b = 5 Rewrite as y = -8x , m = -8, b = Rewrite as y = 2x - 5, m = 2, b = -5 Rewrite as y = x + 0, m = , b = 0 Rewrite as y = 0x + 5, m = 0, b = 5 y = -4x + 3 y = 5 – x 8x + y = 4x - 2y =10 y = x y = 5

4
**Write the equation of a line given...**

1. Slope and y-intercept 2. Graph 3. Slope and one point 4. Two points 5. x - and y-intercepts

5
**Find the Equation of the Line Given the Slope and y-intercept**

Substitute m and b into y = mx + b m = -3, b = 1 m = -2, b = -4 m = 0, b = 10 m = 1, b = 0 m = 0, b = 0 y = -3x + 1 y = -2x - 4 y = 0x + 10, y = 10 y = 1x + 0, y = x y = 0x + 0, y = 0

6
**Find the Equation of a Line Given the Graph**

Find the y-intercept from the graph. Count the slope from the graph. To write the equation of the line, substitute the slope and y-intercept in the slope-intercept form of the equation.

7
Example 1 b = -3 m = y = x - 3 x y +2 +3

8
Example 2 b = 1 m = y = x + 1 x y +1 -2

9
Example 3 b = 4 m = 0/1= 0 y = 0x + 4, y = 4 x y

10
**Find the Equation of a Line Given the Point and the Slope**

Use the Point-Slope Formula: is the given point Substitute m and into the formula

11
Example Write the equation of the line with slope = -2 and passing through the point (3, -5). Substitute m and into the Point-Slope Formula.

12
**Find the Equation of the Line Given Two Points**

Calculate the slope of the two points. Use one of the points and the slope to substitute into the Point-Slope formula.

13
Example Write the equation of the line that goes through the points (3, 2) and (5, 4).

14
**Find the Equation of the Line Given the x- and y - intercepts**

Write the intercepts as ordered pairs. The x-intercept 4 is the ordered pair (4, 0). The y-intercept -2 is the ordered pair (0, -2). Calculate the slope. Substitute the slope and the y-intercept (b) into the slope-intercept formula.

15
**Example Write the equation of the line with x-intercept 3**

and y-intercept 2. x-intercept 3 = (3, 0); y-intercept 2 = (0, 2) Slope: y = mx + b

Similar presentations

Presentation is loading. Please wait....

OK

Lesson 5.1 Write Equations in Slope-Intercept Form.

Lesson 5.1 Write Equations in Slope-Intercept Form.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google

Ppt on direct broadcasting satellite Ppt on content addressable memory wiki Ppt on walt disney concert hall Ppt on relations and functions for class 11th physics Ppt on historical site in need of conservation in india Ppt on types of ram and rom Ppt on barack obama leadership Ppt on viruses and anti viruses list Ppt on animation technology Ppt on line drawing algorithm in computer