Download presentation

Presentation is loading. Please wait.

Published byTrace Goucher Modified over 3 years ago

1
Algebra II Chapter 2 section 2 Lets get linear

2
For a function to be linear In a table, differences between ranges the same as long as differences between domains the same In a graph, forms a line In an equation: 1. No exponents on variables 2. No variables times variables 3. No variables on bottom of fractions

3
Slope Rise over run Y 2 -Y 1 X 2 -X 1

4
Find the slope 1. (3,4) (2,6) 2. (5,-2) (8,12) 3. (-8, 10) (16, -2)

5
Slope intercept form Y = mX + b Slope Y- intercept

6
Name the slope and one point on the line Y = 1/3 X -4 Slope = 1/3Point (0,-4)

7
Point slope form (y - y 1 ) = m (x - x 1 ) Slope Y of one pointX of one point

8
Find the equation of a line in point slope form Slope = 2 & goes through point (5,6) (y - 6) = 2 (x - 5) (y - y1) = m (x - x1)

9
Convert point slope to slope intercept (y - 6) = 2 (x - 5) Distribute the slope y - 6 = 2x - 10 Add y 1 to both sides y = 2x - 4

10
Find the equation of the line in slope intercept form 1. Slope 3 & goes through ( 5,1) 2. Slope ½ & goes through (-2,4) 3. Goes through (3,1) and (-2,5)

11
Finding intercepts given slope intercept Y = mX + b b is the y-intercept

12
Y = mX + b If y = 0 0 = mX + b -b = mX -b = X m X-intercept means Y = 0

13
Find the x, y intercept and the slope 1. Y= 3X + 6 2. Y = ½ X + 5 3. Y = 3X + 10

14
Parallel Lines Parallel lines have the same slope Find the slope of a line parallel to y = x + 4 3 The slope is 3

15
Equations of parallel lines Find the equation of a line parallel to y = 2x + 5 that goes through (-1,4) (y - y 1 ) = m(x - x 1 ) (y - y 1 ) = 2(x - x 1 ) (y - 4) = 2(x + 1)

16
U - Try 1. Parallel to y =-2x + 6 through point ( 4,9 ) 2. Parallel to y = 1/2x + 4 through point ( 3,2 ) 3. Parallel to y = 22x + 7 through point ( 1,-2 )

17
Perpendicular lines Perpendicular lines have slopes that are opposite reciprocals of each other

18
Perpendicular lines Find the slope of a line perpendicular to y = x + 6 2 Reciprocal of 2 = 1/2 Opposite Reciprocal of 2 = -1/2

19
Find the equation of a line perpendicular to y = -1/3x + 5 and goes through ( 4,5) Slope = 3 (y - y 1 ) = m ( x - x 1 ) (y - y 1 ) = 3 ( x - x 1 ) (y - 5) = 3 ( x - 4)

20
U - Try 1. perpendicular to y = -2/3x + 7 and goes through ( 3, 4) 2. perpendicular to y = -4x + 25 and goes through ( -2, 1) 3. perpendicular to y = -x +.2 and goes through ( ½, 5 )

Similar presentations

OK

Algebra 5.5 Point-Slope Form. Point-Slope Form A formula used to find the linear equation when given a point on the line and the slope of the line. Point-Slope.

Algebra 5.5 Point-Slope Form. Point-Slope Form A formula used to find the linear equation when given a point on the line and the slope of the line. Point-Slope.

© 2018 SlidePlayer.com Inc.

All rights reserved.

By using this website, you agree with our use of **cookies** to functioning of the site. More info in our Privacy Policy and Google Privacy & Terms.

Ads by Google

Ppt on nuclear family and joint family images Mems display ppt on tv Ppt on aerobics workout Ppt on total internal reflection definition Ppt on ram and rom comparison Ppt on travel and tourism in india free download Ppt on means of transport for class 2 Ppt on ozone layer Ppt on green revolution Sample ppt on final dissertation seminar