Answer
Since these two lines do not have equal slopes, they are not parallel.
The point of intersection is $(1,-2)$
Work Step by Step
The slope-intercept form of the equation of a line is $~~y=mx+b~~$ where $m$ is the slope and $b$ is the y-intercept.
We can find the slope of the line $2x-y=4$:
$2x-y = 4$
$y = 2x-4$
The slope of the line is $2$
We can find the slope of the line $6x-2y=10$:
$6x-2y = 10$
$2y = 6x-10$
$y = 3x-5$
The slope of the line is $3$
Parallel lines have equal slopes. Since these two lines do not have equal slopes, they are not parallel.
We can find the x-coordinate of the point of intersection:
$2x-4 = 3x-5$
$x = 1$
We can find the y-coordinate of the point of intersection:
$y = 2x-4$
$y = 2(1) -4$
$y = -2$
The point of intersection is $(1,-2)$
