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.

McGraw Hill Glencoe Algebra 2, 2012

MH

McGraw Hill Glencoe Algebra 2, 2012 View details

3. Rate of Change and Slope

Continue to next subchapter

Exercise 25 Page 80

The slope of a line is the same as its rate of change.

3

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.

12x-4y+5=18

LHS-12x=RHS-12x

- 4y+5=- 12x+18

LHS-5=RHS-5

- 4y=- 12x+13

LHS * (- 1)=RHS* (- 1)

4y=12x-13

▼

.LHS /4.=.RHS /4.

.LHS /4.=.RHS /4.

y=12x-13/4

Write as a difference of fractions

y=12x/4-13/4

Calculate quotient

y=3x-13/4

Below we highlight the slope. y=3x-13/4 We can see that the slope is 3. The slope of a line is the same as its rate of change.

Subchapter links

Check Your Understanding p.79

Practice and Problem Solving p.79-81

H.O.T. Problems p.81

Standardized Test Practice p.82

Spiral Review p.82

Skills Review p.82