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Pearson Algebra 1 Common Core, 2011 View details

3. Slope-Intercept Form

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Exercise 53 Page 313

What information does a slope-intercept form equation give you?

Practice makes perfect

Equations written in slope-intercept form follow a specific format. y= mx+ b Here, m represents the slope of the line and b represents the y-intercept.

Identifying Slope and Intercept

The given equation is not written in slope-intercept form. Let's isolate the y-variable to rewrite the equation in this format.

- 2(3x+4)+y=0

▼

Write in slope-intercept form

Distr

Distribute (- 2)

- 6x-8+y=0

AddEqn

LHS+6x=RHS+6x

- 8+y=6x

AddEqn

LHS+8=RHS+8

y= 6x+ 8

We see that the slope is 6 and the y-intercept is 8.

Graphing the Equation

A slope of 6 means that for every 1 unit we move in the positive horizontal direction, we move 6 units in the positive vertical direction. m= 6 ⇔ rise/run=6/1 To graph the equation, plot the y-intercept and use the slope to find another point on the line. Finally, draw the line that passes through those points.

Subchapter links

Lesson Check p.311

Practice and Problem-Solving Exercises p.312-314

Standardized Test Prep p.314

Mixed Review p.314

Exercise 53 Page 313

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Practice exercises

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Identifying Slope and Intercept

Graphing the Equation