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Pearson Algebra 2 Common Core, 2011 View details

3. Linear Functions and Slope-Intercept Form

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Exercise 35 Page 78

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 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+4=-3x

SubEqn

LHS-4=RHS-4

y=-3x-4

Below we highlight the slope m and y-intercept b. y= -3x - 4 ⇔ y= -3x+( -4) The slope is -3. The y-intercept is -4, so the graph crosses the y-axis at the point (0, -4).

Graphing the Equation

A slope of -3 means that for every 1 unit we move in the positive horizontal direction, we move 3 units in the negative vertical direction. m= -3/1 ⇔ rise/run=-3/1 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.78

Practice and Problem-Solving Exercises p.78-80

Standardized Test Prep p.80

Mixed Review p.80

Exercise 35 Page 78

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Practice exercises

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Identifying the Slope and Intercept

Graphing the Equation