jadalynnstayton1234
jadalynnstayton1234 jadalynnstayton1234
  • 16-02-2021
  • Mathematics
contestada

Heyo! I need some help, please. What is the x coordinate if (x, 17) is on a line that passes through the points (1, 2) and (-1, -8) on a standard (x, y) coordinate plane?

Respuesta :

mhanifa
mhanifa mhanifa
  • 17-02-2021

Answer:

  • x = 4

Step-by-step explanation:

The line with points (1,2) and (-1,-8). Work out its equation.

  • y = mx + b

The slope is:

  • m = (-8 - 2)/(-1 - 1) = -10/-2 = 5

To find the y intercept, substitute x and y-xoordinates of point (1,2):

  • 2 = 5(1) + b
  • b = 2 - 5
  • b = -3

The line is:

  • y = 5x - 3

Point (x, 17), substitute y-coordinate and solve for x

  • 17 = 5x - 3
  • 5x = 17 + 3
  • 5x = 20
  • x = 20/5
  • x = 4
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