Algebra 1

Published by Prentice Hall

Chapter 7 - Exponents and Exponential Functions - 7-1 Zero and Negative Exponents - Standardized Test Prep - Page 419: 74

Answer

$-2$

Work Step by Step

The slope of a line perpendicular to a line $l$ is equal to the negative reciprocal of the slope of $l$. We find slope by choosing two points on line $l$ and using the formula: $slope = \frac{y_2-y_1}{x_2-x_1}$ Slope of segment $CD = \frac{4-2}{5-1} = \frac{2}{4} = \frac{1}{2}$. The negative reciprocal of $\frac{1}{2} = -\frac{2}{1} = -2$

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