Write the equation of the line that is perpendicular to y = -x + 4 and goes through the point (-8,2
step 1
Find the slope of the perpendicular line
If two lines are perpendicular, then their slopes are inverse reciprocal
so
the slope of the given line is m=-1/2
therefore
the slope of the perpendicular line is m=2
step 2
Find the equation of the line in slope intercept form
y=mx+b
we have
m=2
point(-8,2)
substitute
2=(2)(-8)+b
solve for b
2=-16+b
b=18
therefore
the equation of the line is
y=2x+18