Download presentation

Presentation is loading. Please wait.

1
**By Matty Lu and Mc-Welch**

Linear Equations By Matty Lu and Mc-Welch

2
**Basics Slope-Intercept Form y = mx + b m = slope b = y-intercept**

Ex. y = 2/3x + 2 slope = 2/3 y-intercept = 2

3
**Slope y = mx + b slope= rise/run slope = y = y2-y1 x x2-x1**

Ex. (-3,0) (3,4) slope= = 2 3-(-3) 3

4
**y-intercept y = mx + b Ex. (3,4) m= 2/3 4=(2/3)(3) + b 4 = 2 + b 2 = b**

b = x-value at which line crosses y-axis Plug in coordinates for x and y Plug in slope for m Solve for b Ex. (3,4) m= 2/3 4=(2/3)(3) + b 4 = 2 + b 2 = b

5
Example 1 Write in slope-intercept form the equation of the line that passes through the given points. Ex (6,2) , (8,-4) Step –2 = -3 8 - 6 Final Step y = mx + b y = -3x + 20 Step 2 y = mx + b 2 = (-3)6 + b b = 20

6
Example 2 Using the graph, identify y-intercept and slope and put into slope-intercept form y-intercept = 1 slope = -4 y = -4x + 1

7
Example 3 Between , a company’s profits decreased by about $1200 per year. In 1997, the company had an annual profit of $1,500,000. Write an equation that gives the annual profit P in terms of the year t. Let t=0 represent 1995.

8
**Example 3 (cont.) Step 1: Identify key values Step 3: Write equation**

x = years (t) y = $profit (P) slope = -$1200/yr point (2, ) with 2 representing the year 1997 Step 3: Write equation y = mx + b y = -1200x Step 2: Substitute values into equation, and solve for b y = mx + b = (-1200)(2) + b b =

9
**Extra Problems Write equation using the Click for the answers.**

given information. m = 4, b = -2 m = -5, b = 3 (2, 6), m = 2 4. (3, -9), m = -5 5. (-2, 5), (2, 4) 6. (9, -1), (1, -9) Click for the answers. 1. y = 4x – 2 2. y = -5x + 3 3. y = 2x + 2 4. y = -5x + 6 5. y = -1/4x + 9/2 6. y = x – 10

10
**Website Links - explanations**

For additional practice go to the following website,

Similar presentations

OK

Use Linear Equations in Slope Intercept Form. Given a Slope and Coordinate Define the variables we know – m, (x, y) Substitute into slope intercept form.

Use Linear Equations in Slope Intercept Form. Given a Slope and Coordinate Define the variables we know – m, (x, y) Substitute into slope intercept form.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on social contract theory thomas Ppt on zettabyte file system Ppt on entrepreneurship development institute of india Ppt on fibonacci numbers in stock Ppt on artificial intelligence free download Ppt on duty roster maker Ppt on statistics in maths cheating Ppt on taj mahal hotel Ppt on polynomials in maths what is the product Ppt on subsoil investigation