Question

(-8, 4), (4, -4) Write in standard form

Answer 1

Answer written in standard form:

2x + 3y = -4

Answer 2

9514 1404 393

Answer:

  2x +3y = -4

Step-by-step explanation:

The slope of the line is given by the slope formula:

  m = (y2 -y1)/(x2 -x1

  m = (-4 -4)/(4 -(-8)) = -8/12 = -2/3

This can be used in the point-slope formula to find an equation of the line:

  y -y1 = m(x -x1)

  y -4 = -2/3(x -(-8)) . . . . substituting for (x1, y1) and m

Multiplying by 3 eliminated fractions:

  3(y -4) = -2(x +8)

  3y -12 = -2x -16

Adding 2x+12 to both sides gives the standard form equation:

  2x +3y = -4