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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

1. Rate of Change and Slope

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Exercise 24 Page 298

Begin by finding two points on the line. Then, substitute these points into the Slope Formula. Recall that a division by zero is undefined.

Undefined

Practice makes perfect

We will begin by looking at the graph of the given vertical line.

A graph of a vertical line

Observing the graph, we can see that the line passes through the points ( -1, 3) and ( -1, -1). We can substitute these points into the Slope Formula to find the slope of the line. Let's do it!

m = y_2-y_1/x_2-x_1

SubstitutePoints

Substitute ( - 1,3) & ( - 1,- 1)

m=- 1- 3/- 1-( - 1)

a-(- b)=a+b

m=- 1-3/- 1+1

Add terms

m=- 1-3/0

We can see that we have a division by zero. This means that the slope is undefined. Additionally, for any vertical line, the slope is always undefined.

Subchapter links

Lesson Check p.297

Practice and Problem-Solving Exercises p.298-300

Standardized Test Prep p.300

Mixed Review p.300