Download presentation

Presentation is loading. Please wait.

1
Do Now

2
**2.3 Linear Functions and Slope-Intercept Form**

Learning Target: I can Graph linear equations I can write equations of lines.

3
**Review of Formulas Formula for Slope Point-Slope Form**

Slope-intercept Form Standard Form *where A>0 and A, B, C are integers

4
Review Slope

5
**Examples of linear equations**

Equation is in Ax + By =C form Rewrite with both variables on left side … x + 6y =3 B =0 … x + 0 y =1 Multiply both sides of the equation by -1 … 2a – b = -5 Multiply both sides of the equation by 3 … 4x –y =-21 2x + 4y =8 6y = 3 – x x = 1 -2a + b = 5

6
**Examples of Nonlinear Equations**

The following equations are NOT in the standard form of Ax + By =C: The exponent is 2 There is a radical in the equation Variables are multiplied Variables are divided 4x2 + y = 5 xy + x = 5 s/r + r = 3

7
**Find the slope of a line through points (3, 4) and (-1, 6).**

8
**Write an equation for the line that passes through (-2, 5) and (1, 7):**

Find the slope: Use point-slope form:

9
**Change into slope-intercept form and identify the slope and y-intercept.**

10
**Change into standard form.**

11
**x-intercepts and y-intercepts**

The intercept is the point(s) where the graph crosses the axis. To find an intercept, set the other variable equal to zero.

12
**Horizontal Lines Slope is zero. Equation form is y = #.**

Write an equation of a line and graph it with zero slope and y-intercept of -2. y = -2 Write an equation of a line and graph it that passes through (2, 4) and (-3, 4). y = 4

13
**Vertical Lines Slope is undefined. Equation form is x = #.**

Write an equation of a line and graph it with undefined slope and passes through (1, 0). x = 1 Write an equation of a line that passes through (3, 5) and (3, -2). x = 3

14
**Graphing Lines graph a line. Using x and y intercepts:**

*You need at least 2 points to graph a line. Using x and y intercepts: Find the x and y intercepts Plot the points Draw your line

15
**Graph using x and y intercepts**

2x – 3y = -12 x-intercept 2x = -12 x = -6 (-6, 0) y-intercept -3y = -12 y = 4 (0, 4)

16
**Graph using x and y intercepts**

6x + 9y = 18 x-intercept 6x = 18 x = 3 (3, 0) y-intercept 9y = 18 y = 2 (0, 2)

17
**Graphing Lines Using slope-intercept form y = mx + b:**

Change the equation to y = mx + b. Plot the y-intercept. Use the numerator of the slope to count the corresponding number of spaces up/down. Use the denominator of the slope to count the corresponding number of spaces left/right. Draw your line.

18
**Graph using slope-intercept form y = -4x + 1:**

y-intercept (0, 1) Slope m = -4 = -4 1

19
**Graph using slope-intercept form**

3x - 4y = 8 y = 3x - 2 4 y-intercept (0, -2) Slope m = 3 4

20
Homework Homework: p. 78 #7, 11, 17, 19, 23, 25, 27, 29, 31, 33, 37, 39, 43, 49, 53 Challenge - # 62

Similar presentations

Presentation is loading. Please wait....

OK

A) A(3,4), B(7,8) P(5,6). b) A(-5,-2), B(3,7) P(-1,2.5)

A) A(3,4), B(7,8) P(5,6). b) A(-5,-2), B(3,7) P(-1,2.5)

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on kinetic theory class 11 Ppt on file system in unix shell Ppt on festivals of kerala Slides for ppt on robotics A ppt on artificial intelligence Ppt on condition based maintenance certification Ppt on recycling of waste paper Ppt on obesity prevention source Ppt on hard gelatin capsule Ppt on event driven programming pdf