#### Answer

$y=-\frac{5}{3}x+2$
slope = $-\frac{5}{3}$
y-intercept = 2

#### Work Step by Step

RECALL:
The slope-intercept form of a line's equation is given as $y=mx+b$ where m = slope and b = y-intercept.
Subtract $5x$ on both sides of the equation to obtain:
$3y=6-5x
\\3y=-5x+6$
Divide $3$ on both sides of the equation to obtain:
$y=\dfrac{-5x+6}{3}
\\y = -\frac{5}{3}x + 2$
The line has a slope of $-\frac{5}{3}$ and a y-intercept of $2$.