Use slopes and y-intercepts to determine if the lines 5x + 2y = -3 and 2x - y = -2 are parallel.
step 1
we have the line
5x + 2y = -3
isolate the variable y
2y=-5x-3
y=-2.5x-1.5
the slope is m=-2.5
y-intercept b=-1.5
step 2
we have
2x - y = -2
y=2x+2
the slope is m=2
the y-intercept is b=2
step 3
Compare their slopes
m=-2.5
m=2
the slopes are not equal
that means
the lines are not parallel