What is the slope of a line that passes through the points (-2,-7) and (-6,-2)?a.-4 fifthsb.-5 fourthsc.8 ninthsd.9 eighths?

Mathematics · High School · Sun Jan 24 2021

Answered on

Given the points:

( -2, - 7)

( -6, -2)

x1 = -2

x2 = -6

y1= -7

y2 = -2

Determine the slope of the line.

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 = (-2 - (-7))/(-6 - (-2))

m = (-2 + 7)/(-6 + 2)

m = -5/4


Final answer:
The slope of the line = -5/4

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