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Pearson Algebra 1 Common Core, 2011 View details

3. Slope-Intercept Form

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Exercise 51 Page 313

What information can you learn from the slope-intercept form of an equation?

Practice makes perfect

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

Identifying the Slope and y-intercept

Since the given equation is not in slope-intercept form, let's rewrite it so that it will be easier to identify the slope and y-intercept.

y+2=5x-4

SubEqn

LHS-2=RHS-2

y=5x-6

Below we highlight the slope m and y-intercept b. y= 5x - 6 ⇔ y= 5x+( - 6) The slope is 5. The y-intercept is - 6, so the graph crosses the y-axis at the point (0, - 6).

Graphing the Equation

A slope of 5 means that for every 1 unit we move in the positive horizontal direction, we move 5 units in the positive vertical direction. m= 5/1 ⇔ rise/run=5/1 To graph the equation, plot the y-intercept and then use the slope to find another point on the line.

Subchapter links

Lesson Check p.311

Practice and Problem-Solving Exercises p.312-314

Standardized Test Prep p.314

Mixed Review p.314

Exercise 51 Page 313

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Practice exercises

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Identifying the Slope and y-intercept

Graphing the Equation