shegriffithsjohnson shegriffithsjohnson
  • 12-06-2021
  • Mathematics
contestada

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

Respuesta :

mathmate
mathmate mathmate
  • 12-06-2021

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

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