## Algebra 2 Common Core

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