#### Answer

The two lines are parallel to each other.

#### Work Step by Step

RECALL:
(1) Parallel lines have equal slopes.
(2) Perpendicular lines have slopes whose product is $-1$.
(3) The slope-intercept form of a line's equation is $y=mx+b$ where $m$ = slope.
Write both equations in slope-intercept form to obtain:
$\bf\text{Equation 1}:$
$2x-3y=10
\\-3y=-2x+10
\\\dfrac{-3y}{-3} = \dfrac{-2x+10}{-3}
\\y = \dfrac{2}{3}x - \dfrac{10}{3}$
$\bf\text{Equation 2}:$
$3y-2x-7=0
\\3y=2x+7
\\\dfrac{3y}{3} = \dfrac{2x+7}{3}
\\y=\dfrac{2}{3}x+\dfrac{7}{3}$
The two lines have equal slopes.
Thus, the two lines are parallel to each other.