Download presentation

Presentation is loading. Please wait.

Published byAlice Finkle Modified over 3 years ago

1
Slope and y-intercept

2
Lines have both slope (m) and a y-intercept (b). Slope describes the steepness of the line as well as its direction. Positive slope means the lines go up toward the right; negative slope means it goes down to the right. The larger the slope, the steeper the line. A slope of 5 is a very steep line, while a slope of 1/5 is very flat. The y-intercept tells you where the line crosses the y- axis. Lines

3
Slope

4
You only get better when you practice, so….. Find the slope of the line that passes through the points: 1. (4,4) and (6,6)2. (3,7) and (4,8) m = 1 m = 1 3. (7,-5) and (-4,-4)4. (-6,-1) and (7,-6) m = -1/11 m = -5/13 Slope

5
Slope tells you how to move and the y-intercept tells you where the line cross the y-axis. y = mx + b……you have seen this before m is the slope and b is the y-intercept. When giving the y-intercept, give the coordinates as an ordered pair. (0,b) You can use those two things to graph any line. y = 2x + 3 Slope is 2 and the y-intercept is (0,3). Slope - Intercept

6
Try a couple more……. 1. y = 5x – 62. y = -2x + 3 3. y = -1/3x + 64. y = 1/2x - 4 Slope-Intercept

7
Now we will practice writing equations. Remember you have to have a slope (m) and a y- intercept (b) to write an equation. Write the equation for the line given the slope and intercept. 1. m = 2 y-intercept (0,5) 2. m = -8 y-intercept (0,4) 3. m = ½ y-intercept (0,-3) Slope-Intercept 1.y = 2x + 5 2.y = -8x + 4 3.y = 1/2x - 3

8
Now for the hard ones…… What happens if you have the slope, but not the y- intercept? Solve for it!!! Write the equation of the line that has a slope of 2 and passes through (4,6). y = mx + b 6 = 2(4) + b 6 = 8 + b b = -2 y = 2x - 2 Slope-Intercept Plug in the numbers that you know: m = 2, y = 6, x = 4 Solve for b. Rewrite in slope-intercept form.

9
I know, that was tricky so try it again…. m = 4 (-1,2) 2 = 4(-1) + b 2 = -4 + b b = 6 y = 4x + 6 Slope-Intercept m = -1/2 (4,-6) -6 = -1/2(4) + b -6 = -2 + b b = -4 y = -1/2x - 4

Similar presentations

Presentation is loading. Please wait....

OK

Finding x- and y-intercepts algebraically

Finding x- and y-intercepts algebraically

© 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 10 famous personalities of india Ppt on vehicle to grid Ppt on metabolism of drugs Ppt on viruses and bacteria worksheets Strategy to increase market share ppt online Ppt on applied operational research ppt Download ppt on nationalism in indochina Ppt on vegetarian and non vegetarian photo Marketing mix ppt on sony Ppt on australian continent facts