-Practice- Data Points: (-3, 4) (6, -5)
Find the Slope
Answer: -1

-Slope Intercept Form- :

-Slope Intercept Form- y = mx + b

Steps :

Steps Find Slope
Put the information into the y=mx + b form
Remember: m= slope
Replace x, y, and m with appropriate data points given.

Example :

Example Data set: (4, 1) (5, 4)
Slope = 3
Find ‘b’ by taking point (4,1).
Plug 4 into x, 1 into y and 3 into m
The equation should look like 1= 3(4) + b
Solve for b
b = -11

Identifying m and b in a given equation :

Identifying m and b in a given equation If you are given a equation that is not in slope intercept form you need to use functions of math to put the equation into that form
Ex. -x + 2y= 12
Add x from each side 2y= x +12
Divide by two on each side of the equation. y= 1/2 x +6
Now your equation is in y= mx+b form.
M is the slope b is the y intercept

Parallel Lines :

Parallel Lines A parallel line must have the same slope as the original equation.
They need to have a different y intercept.
Ex. Y = 1/2 x + 6
Parallel line is Y= 1/2 x + b where b is less or greater than 6.
Common mistakes are forgetting that b can be any number but the original equation

Parallel lines :

Parallel lines There are also more advance equations such as find the line parallel to 2x-3y = 12 that goes through the point (1,7)
The first step is to get your equation into slope intercept form y = 2/3x -4
You know the slope has to be the same but the y intercept has to a certain number because the line must go through (1,7)
Plug in for x y and m in the new equation. 7= 2/3(1) + b
Then solve.
7/.666= 10.5
b= 10.5
Your new equation is y = 2/3x + 10.5

Perpendicular lines :

Perpendicular lines A perpendicular line has a slope that is the opposite reciprocal as the original equation.
Ex. ½ and -2
The Y intercept can be any number.
Ex. Y = 1/2 x + 6
Perpendicular line is Y= -2x + any number
A common mistake is forgetting to change the sign.

Perpendicular lines :

Perpendicular lines There are also more advance equations for perpendicular lines such as find the slope perpendicular to a line with points at (1,6) and (-2, 3)
First step is to find the slope using y/x the slope is 1
Find the opposite reciprocal
-1 is the slope

You do not have the permission to view this presentation. In order to view it, please
contact the author of the presentation.

Send to Blogs and Networks

Processing ....

Premium member

Use HTTPs

HTTPS (Hypertext Transfer Protocol Secure) is a protocol used by Web servers to transfer and display Web content securely. Most web browsers block content or generate a “mixed content” warning when users access web pages via HTTPS that contain embedded content loaded via HTTP. To prevent users from facing this, Use HTTPS option.

By: Umesh (111 month(s) ago)

Oops, by first slide i meant of "Exponentials" lesson by Dev and Deb!