Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 3 - Parallel and Perpendicular Lines - 3-7 Equations of Lines in the Coordinate Plane - Practice and Problem-Solving Exercises - Page 194: 25


$y = \frac{1}{2}x - 5$

Work Step by Step

If we are given the slope and the y-intercept of a line, then we can use the slope-intercept form to express the equation of the line. The slope intercept form is given by the formula: $y = mx + b$, where $m$ is the slope of the line and $b$ is the y-intercept of the line. Let us plug in our values into the formula. We have a slope of $\frac{1}{2}$ and a y-intercept of $-5$: $y = \frac{1}{2}x - 5$ This is the equation of our line in slope-intercept form.
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