sandraxnilp0 sandraxnilp0
  • 03-10-2020
  • Mathematics
contestada

Which point lies on the line with a slope of m=2/3 that passes through the point (-3,-2)?

A. (3,4)
B. (5,7)
C. (-8,-4)
D. (-9,-6)

Respuesta :

achadwickschool achadwickschool
  • 03-10-2020

Answer:

D. (-9,-6)

Step-by-step explanation:

Use the given slope and point to solve for y using the point-slope equation.

y-y = m(x - x)

m= 2/3  (-3, -2)

y + 2 = 2/3(x + 3)

y + 2 = 2/3x + 2

y = 2/3x

Then plug in the x's in the points that you can choose from. If the y equals the y in the given point that is the answer.

( 3,4)      y = 2/3(3) = 2

( 5,7)      y = 2/3(5) = 10/3

( -8, -4)   y = 2/3(-8) = - 16/3

( -9, -6)    y = 2/3(-9) = -6

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