Question

A line has a slope of -8 and includes the points (-10, 0) and (-9, z). What is the value of Z?

Answer 1

Answer:

Step-by-step explanation:

Let L be the given line, then, with a slope of -8

L :  y = -8x + b

where b is to be determined from the included point A(-10,0).

Substitute point A in L to get

0 = -8 (-10) + b

solve to get

b = -80

therefore

L : y = -8x -80

Now substitute B(-9,z) in L

z = -8(-9) - 80 = -8

Answer 2

Answer:

z = -8

Step-by-step explanation:

Given coordinate points are:

(-10 , 0) = (x1 , y1)

(-9 , z) = (x2 , y2)

slope ( m) = y2-y1/x2-x1

-8 = z - 0/-9 - (-10)

-8 = z/-9 + 10

-8 = z/1

-8*1 = z

-8 = z

therefore the value of z is -8.