Answer
$a.)$ $y=-\frac{5}{3}x+\frac{53}{24}$
$b.)$ $y=\frac{3}{5}x+\frac{9}{40}$
$m=-\frac{5}{3}$
Work Step by Step
$5x+3y= 0$
$3y=-5x$
$y=-\frac{5}{3}x$
$slope: m=-\frac{5}{3}$
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$a.)$ $m=-\frac{5}{3},(\frac{7}{8},\frac{3}{4})$
$y-\frac{3}{4}=-\frac{5}{3}(x-\frac{7}{8})$
$24y-18=-40(x-\frac{7}{8})$
$24y-18=-40x+35$
$24y=-40x+53$
$y=-\frac{5}{3}x+\frac{53}{24}$
$b.)$ $m=\frac{3}{5}, (\frac{7}{8},\frac{3}{4})$
$y-\frac{3}{4}=\frac{3}{5}(x-\frac{7}{8})$
$40y-30=24(x-\frac{7}{8})$
$40y-30=24x-21$
$40y=24x+9$
$y=\frac{3}{5}x+\frac{9}{40}$
