2 Answers

Maxyie · Answer 1 · 2021-05-29T09:14:22+0000

Answer:

$\boxed {\tt m=9}$

Explanation:

The slope formula is:

m=(y_2-y_1)/(x_2-x_1)

where (x₁, y₁) and (x₂, y₂) are the points the line passes through.

The points given are: (-7,-2) and (-6,7). Therefore,

$x_1= -7 \\y_1= -2 \\x_2=-6 \\y_2= 7$

Substitute the values into the formula.

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

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

Solve the numerator by adding 7 and 2.

m=(9)/(-6+7)

Solve the numerator by adding 7 to -6.

m=(9)/(1)

Divide 9 by 1.

m=9

The slope of the line is 9.

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