Plz , will award brainliest find an equation for the line that goes through the points (5,-8) and (13,4)

  3x - 2y = 31

Step-by-step explanation:

The 2-point form of the equation for a line is useful for this. For points (x1, y1) and (x2, y2), it tells you ...

  y = (y2 -y1)/(x2 -x1)·(x -x1) +y1

Substituting the given point values, we get ...

  y = (4 -(-8))/(13 -5)·(x -5) +(-8)

  y = (12/8)(x -5) - 8 = (3/2)(x -5) -8

Multiplying by 2 gives ...

  2y = 3(x -5) -16

  2y = 3x -15 -16

Adding 31-2y changes this to standard form:

  3x -2y = 31

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step-by-step explanation:

figure c

step-by-step explanation:

hope this .