Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 3 - Section 3.5 - Equations of Lines - Exercise Set - Page 256: 75

Answer

$$y=3x+5$$

Work Step by Step

$$y = 3x - 1$$ This equation is in the form $y=mx+b$ with $m$ as slobe and $b$ as y-intercept. Since parallel lines have the same slope, then the equation we are looking for will have a slope=$3$. Thus, we have: $$y = 3x +b$$ We can now use the given point $(-1,2)$ to find the y-intercept, $b$. $$y = 3x +b$$ $$2 = 3(-1) +b$$ $$2 = -3 +b$$ Add $3$ to both sides: $$2+3 = -3+3 +b$$ $$5=b$$ The equation will now become: $$y=3x+5$$ Plotting both equations will give us:
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