we have the lines
−6x + 3y = 3 and 2x − y = −10
step 1
Find out the slope of Line 1
-6x+3y=3
isolate the variable y
3y=6x+3
y=2x+1 ------> the slope is m=2
step 2
Find out tyhe slope of the line 2
2x-y=-10
isolate the variable y
y=2x+10 ------> the slope is m=2
step 3
Compare the slopes
2=2
the slopes are equal
that means
the lines are parallel