## Algebra 2 Common Core

Published by Prentice Hall

# Chapter 2 - Functions, Equations, and Graphs - 2-4 More About Linear Equations - Practice and Problem-Solving Exercises - Page 88: 68

#### Answer

$y=\frac{4}{5}x+7$

#### Work Step by Step

RECALL: (i) The slope-intercept form of a line's equation is $y=mx+b$, where m=slope and b=y-intercept. (ii) The line passes through the y-axis at the point (0, b). The given line has $m=\frac{4}{5}$, therefore its tentative equation is $y=\frac{4}{5}x+b$. The y-intercept is (0, 7), therefore $b=7$. Thus, the equation of the line is $y=\frac{4}{5}x+7$.

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