Find the equation of the line through (-3,5) that is parallel to y=-2x+8
step 1
Find out the slope of the given line
y=-2x+8
the slope is m=-2
step 2
Remember that
if two lines are parallel, then their slopes are equal
that means
the slope of the parallel line is m=-2
step 3
Find out the equation in slope-intercept form
y=mx+b
we have
m=-2
point (-3,5)
substitute and solve for b
5=-2(-3)+b
5=6+b
b=-1
therefore
y=-2x-1