Question

Which equation is a point slope form equation for line AB ? y+1=2/3(x−4) y+1=3/2(x−4) y+1=−2/3(x−4) y+1=−3/2(x−4) A graph with a line running through point A, with coordinates (4, -1), and point B, with coordinates (-2, 3)

Answer 1

Answer:

C) y + 1 = -2/3(x - 4)

Step-by-step explanation:

The given line passes through the points A (4, -1) and B (-2, 3)

Let's find the slope now.

Slope (m) = (y2 - y1)/(x2 - x1)

= (3 - (-1)) / (-2 - 4)

= (3 + 1)/-6

= 4/-6

Slope (m) = -2/3

The equation of line y - y1 = m (x - x1)

y - (-1) = -2/3(x - 4)

y + 1 = -2/3(x - 4)

Answer:  C) y + 1 = -2/3(x - 4)

Thank you.