penelope9001 penelope9001
  • 19-07-2022
  • Mathematics
contestada

If a line has a slope of 1/3 and passes through the point (1,-2) which ff points also lies on the line a) -2,-5 b) -2,1 c) 4,-1 d) 4,10

Respuesta :

Medunno13
Medunno13 Medunno13
  • 25-07-2022

Answer: c

Step-by-step explanation:

The equation of the line is

[tex]y+2=\frac{1}{3}(x-1)\\\\y+2=\frac{1}{3}x-\frac{1}{3}\\\\y=\frac{1}{3}x-\frac{7}{3}[/tex]

To determine which point lies on the line, we can substitute in the x coordinate and see if the equation gives the same y-coordinate.

  • If x = 2, then the equation of the line gives that y = -5/3.
  • If x = 4, then the equation of the line gives that y = -1.

Therefore, the answer is c.

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