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McGraw Hill Glencoe Algebra 2, 2012

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McGraw Hill Glencoe Algebra 2, 2012 View details

3. Rate of Change and Slope

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Exercise 24 Page 80

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

- 8

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.

- 2y-16x=41

LHS+16x=RHS+16x

- 2y=16x+41

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

2y=- 16x-41

▼

.LHS /2.=.RHS /2.

.LHS /2.=.RHS /2.

y=- 16x-41/2

Write as a difference of fractions

y=- 16x/2-41/2

Calculate quotient

y=- 8x-41/2

Below we highlight the slope. y=- 8x-41/2 We can see that the slope is - 8. 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