body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Pearson Algebra 2 Common Core, 2011

PA

Pearson Algebra 2 Common Core, 2011 View details

3. Linear Functions and Slope-Intercept Form

Continue to next subchapter

Exercise 53 Page 79

What do m and b represent in y=mx+b?

Slope: -1/2
y' -intercept:' (0,-5/2)

Practice makes perfect

Equations in slope-intercept form follow a specific format, where m represents the slope of the line and b is the y-intercept. y= mx+ bLet's rewrite our equation a little bit so that it more closely resembles this format. This will make it easier to identify the features of the equation.

-1/3x-2/3y=5/3

LHS * 3=RHS* 3

- x-2y=5

LHS+2y=RHS+2y

- x=5+2y

LHS-5=RHS-5

- x-5=2y

.LHS /2.=.RHS /2.

-1/2x-5/2=y

Rearrange equation

y=-1/2x-5/2

The given equation is already in this form. Below we have highlighted the slope m and y-intercept b. y= -1/2x -5/2 ⇒ y= -1/2x+( -5/2) We can see that the slope is - 12 and the y-intercept is (0, - 52).

Subchapter links

Lesson Check p.78

Practice and Problem-Solving Exercises p.78-80

Standardized Test Prep p.80

Mixed Review p.80