Line GH contains points G(–2, 6) and H(5, –3). What is the slope of GH ? A. -7/3 B. -9/7 C.-7/9 D.-3/7

Mathematics · High School · Sun Jan 24 2021

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Gien the points

G ( -2 , 6 )

H ( 5, -3 )

x1= -2

x2 = 5

y1 = 6

y2 = -3

Determine the slope of GH.

Formula for the slope of the line:

m = change in y/ change in x

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

Solution:

Substitute the given values to the formula for the slope of the line.

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

m = (- 3-  6)/(5 - (-2))

m = (-3 - 6)/(5 + 2)

m = (-9)/7

m = -9/7

Final answer:
The slope of the line = -9/7