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)

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

Step-by-step 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.

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