Answer
Only (b), (c), (e), and (g)'s equations might have the graph shown.
Work Step by Step
We can see that the graph has a negative x-intercept and a positive y-intercept, so we should find the intercepts of the given equations to find out if their x-intercepts are negative and y-intercepts positive.
(a) x-intercept:
$2x+3(0)=6$
$2x=6$
$x=3$ nope
(b) x-intercept:
$-2x+3(0)=6$
$-2x=6$
$x=-3 \checkmark$
y-intercept:
$-2(0)+3y=6$
$3y=6$
$y=2\checkmark$
(c) x-intercept:
$3x-4(0)=-12$
$3x=-12$
$x=-4 \checkmark$
y-intercept:
$3(0)-4y=-12$
$-4y=-12$
$y=3\checkmark$
(d) x-intercept:
$x-0=1$
$x=1$ nope
(e) x-intercept:
$x-0=-1$
$x=-1 \checkmark$
y-intercept:
$0-y=-1$
$-y=-1$
$y=1 \checkmark$
(f) x-intercept:
$0=3x-5$
$3x=5$
$x=5/3$ nope
(g) x-intercept:
$0=2x+3$
$-2x=3$
$x=-3/2 \checkmark$
y-intercept:
$y=2(0)+3$
$y=3 \checkmark$
(h) x-intercept:
$0=-3x+3$
$3x=3$
$x=1$ nope
Only (b), (c), (e), and (g)'s equations might have the graph shown.
