What is the slope of the line that passes through the points (-10, -8)(−10,−8) and (-8, -16) ?(−8,−16)? Write your answer in simplest form.

The slope of the line that passes through the points (-10, -8) and (-8, -16) is -4

The slope formula can represented as follows:

m = y₂ - y₁ / x₂ - x₁

Therefore,

(-10, -8) (-8, -16)

m = -16 - (-8) / -8 - (-10)

m = -16 + 8 /-8 + 10

m = - 8 / 2

m = -4

Therefore, the slope of the line that passes through the points (-10, -8) and (-8, -16) is - 4.

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The slope of the line that passes through points ( -10, -8 ) and ( -8, -16 ) is -4.

Explanation:

Points given = ( -10, -8) and ( -8, -16)

Slope = ?

( -10, -8 ) : x1 = -10 and y1 = -8

( -8, -16 ) : x2 = -8 and y2 = -16

We know,

slope = y2 - y1 / x2 - x1

Slope = -16 - ( -8) / -8 - (-10)

slope = -16 + 8 / -8 + 10

slope = -8 / 2

slope = -4

Therefore,  slope of the line that passes through points ( -10, -8 ) and ( -8, -16 ) is -4.

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