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
