Question

Which equation is a point slope form equation for line AB ?

A. y+5=−2(x−2) B. y+6=−2(x−1) C. y+2=−2(x−5) D. y+1=−2(x−6)
A graph with a line running through point A, with coordinates (1, 6), and point B, with coordinates (5, -2)

Answer 1

y+2=−2(x−5)

Explanation:

Answer 2

C) y + 2 = -2(x - 5)

Explanation:

The given graph passes through the point A (1, 6) and B (5, -2)

Now let's find the slope of the given line.

Here x1 = 5, y1 = -2, x2 = 1 and y2 = 6

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

= (6 -(-2))/(1 - 5)

= 8/-4

Slope (m) = -2

The equation of line is y - y 1 = m (x - x1)

y - (-2) = -2(x - 5)

y + 2 = -2(x - 5)

Answer C) y + 2 = -2(x - 5)

Thank you.