A line with a slope of – 5 passes through the points ( – 7, – 2) and ( – 6,z). What is the value of z?

Question

What is the value of z?

Answer 1

-5 = (z--2)/-6--7 = (z+2)/1 = z+2

z+2 = -5

z = -7

the points are (-7,-2) and (-6,-7) a line through them has slope =-5

the line is y=-5x + b, calculate b by plugging in the point x=-7, y=-2

-2 = -5(-7) + b

b = -37

y=-5x -37

check the other point (-6,-7)

-7 = -5(-6) -37 = 30-37 = -7

z=-7