Question

Which is an equation in point-slope form of the line that passes through the points (4, 5) and (−3, −1) ?

A. y+3=76(x+1)y+3=76(x+1)

B. y−1=67(x−3)y−1=67(x−3)

C. y+1=65(x+3)y+1=65(x+3)

D. y+1=67(x+3)

Answer 1

(4,5)(-3,-1)
slope(m) = (-1 - 5) / (-3 - 4) = -6/-7 = 6/7

y - y1 = m(x - x1)
slope(m) = 6/7
(-3,-1)....x1 = -3 and y1 = -1
now we sub...and pay close attention to ur signs
y - (-1) = 6/7(x - (-3) =
y + 1 = 6/7(x + 3) <==

Answer 2

it is D, y + 1 =6/7 (x+3)