Question

( -3, -14 ) and ( 0, -9 )

Answer 1

The coordinate of the midpoint between point ( -3, -14 ) and ( 0, -9 ) is ( -3/2, -23/2 ).

What is the midpoint of the given points?

The midpoint formula is expressed as;

M = ( (x₁+x₂)/2, (y₁+y₂)/2 )

Given the data in the question

Point 1 ( -3, -14 )

• x₁ = -3
• y₁ = -14

Point 2 ( 0, -9 )

• x₂ = 0
• y₂ = -9

To determine the midpoint between the points, plug the given points into the midpoint formula above and simplify.

Midpoint = ( (x₁+x₂)/2, (y₁+y₂)/2 )

Midpoint = ( ( -3 + 0 )/2, ( -14 + (-9) )/2 )

Midpoint = ( ( -3 )/2, ( -14 - 9 )/2 )

Midpoint = ( -3/2, ( -23 )/2 )

Midpoint = ( -3/2, -23/2 )

Therefore, the coordinate of the midpoint is ( -3/2, -23/2 ).

Learn more about the midpoint formula here: brainly.com/question/14687140

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Answer 2

The slope of the line that passes through the points ( -3, -14 ) and ( 0, -9 ) is 5/3

How to calculate the slope of the line?

From the question, the points are given as

( -3, -14 ) and ( 0, -9 )

Rewrite the above points properly as ordered pairs

So, we have the following ordered pairs

(-3, -14) and (0, -9)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (-3, -14) and (0, -9)

Substitute the known values of the ordered pairs in the equation Slope = (y₂ - y₁)/(x₂ - x₁)

So, we have the following equation

Slope = (-9 + 14)/(0 + 3)

Evaluate the sum in the above equation

So, we have the following representation

Slope = 5/3

Hence, the slope of the line is 5/3

Read more about slope at

brainly.com/question/3493733

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Possible question

Find the slope of ( -3, -14 ) and ( 0, -9 )