Answer
(a) $y=\frac{7}{3}x-1$
(b) $slope=m=\frac{7}{3}$
(c) $y-intercept=b=-1$; point $(0,-1)$
(d) See graph.
Work Step by Step
(a)
A line in slope-intercept form has the equation:
$y=mx+b$ ($m=slope$, $b=y-intercept$)
We put the equation into slope-intercept form:
$7x-3y=3$
$-3y=3-7x$
$-3y=-7x+3$
$y=\frac{7}{3}x-1$
(b) We see that $slope=m=\frac{7}{3}$
(c) We see that $y-intercept=b=-1$; point $(0,-1)$
(d) See graph.