Question

The slope of the line below is -4. use coordinates of the labeled point to find a point-slope equation of the line.

a) y+9=4(x-4)
b) y-9=-4(x+4)
c) y-9=4(x+4)
d)y+9=-4(x-4)

Answer 1

Answer: D) y + 9 = -4(x -4)

Explanation:

The point-slope formula says that y - b = m( x - a) Where b is the y coordinate of a point, m is the slope and a is the x coordinate of the same point. Given the point (4,-9) the x coordinate is 4 and the y coordinate is -9.

y - (-9) = -4(x - 4) Reduce it.

y + 9 = -4(x -4)