## College Algebra (10th Edition)

Published by Pearson

# Chapter 2 - Section 2.3 - Lines - 2.3 Assess Your Understanding: 47

#### Answer

$\color{blue}{y=3x+9}$

#### Work Step by Step

RECALL: The slope-intercept form of a line's equation is: $y=mx+b$ where $m$=slope and $b$ = y-intercept. The line has a slope of $3$, so the tentative equation of the line is: $y=3x+b$. To find the value of $b$, substitute the x and y values of the given into the tentative equation above to obtain: $y=3x+b \\3=3(-2)+b \\3=-6+b \\3+6=b \\9=b$ Therefore, the equation of line is $\color{blue}{y=3x+9}$.

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