Complete the point-slope equation of the line through (−9,6) and (−7,−8) .

y - 6 = -7(x + 9)

Step-by-step explanation:

As we move right from (−9,6) to (−7,−8), x increases by 2 and y decreases by 14.  Thus, the slope of the line segment connecting the two points is

m = rise / run = -14 / 2, or m = -7.

Arbitrarily selecting the point (-9, 6), we write out the point-slope equation:

y - 6 = -7(x + 9)

.

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743