What is the slope of the line that passes through the points (-9, -−15,−16)? write your answer in simplest form.

The slope of the line that passes through the points (-9, -8)((−15,−16) is 4/3

The slope  formula can be represented below:

m  = y₂ - y₁ / x₂ - x₁

Therefore,

(-9, -8)(−15,−16)

m = -16 - (-8) / -15 - (-9) = -16 + 8 / -15 + 9

m = - 8 / -6

m = 4 / 3

The slope of the line that passes through the points (-9, -8)(−15,−16) is 4 /3

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Therefore the slope of the line that passes through the points (-9, -8),(−15,−16) is

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( -9 ,-8)

point B( x₂ , y₂ )≡ (-15 ,-16)

To Find:  

Slope = ?

Solution:

Slope of Line Segment AB is given as

Substituting the values we get

Therefore the slope of the line that passes through the points (-9, -8),(−15,−16) is