Question

What is the equation in point-slope form of a line that passes through the points (5, -3) and (-2, 9) ? A y+3= -2(x- 5)

B y-3 = 12/7(x + 5). C y-3=-2(x+5)
D y+3= 12/7(x-5)​

Answer 1

the answer is D

Explanation:

Answer 2

Line through (5, -3) and (-2, 9)

The slope is (9 - -3) / (-2 - 5) = -12/7

Point slope form, point (a,b), slope m, is

y - b = m(x-a)

When we pick the point (a,b)=(5,-3) our answer is

y + 3 = -12/7 (x - 5)

That's almost D except for the sign on the slope. The slope is definitely negative so none of the above is correct.