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3 years ago

What is the slope of the line through (-5, -3) and (-5, -7)?

Mathematics

1 answer:

Paul [167]3 years ago

5 0

Answer:

The answer is undefined.

Step-by-step explanation:

Slope is found using this equation: y-y1/x-x1. Fill in the coordinates to this equation. It should now look like this. -7--3/-5--5. When subtracting from two negatives, it changes into a positive. For example, -7--3 becomes -7+3, which equals -4. The same thing applies for the second part. -5--5 becomes -5+5, which equals 0. So, your slope is -4/0. However, when a 0 is in the denominator, it becomes undefined. So, the answer is undefined.

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Answer:

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Step-by-step explanation:

Find the slope of MN, which is $\frac{1-(-5)}{-6-3} = \frac{6}{-9} = -\frac{2}{3}$

Then, use the formula: y-y₁ = m(x-x₁)

Use point P as (x₁, y₁)

Plugging in x₁ = 6 and y₁ = 1 and simplifying, we find that:

y - 1 = $-\frac{2}{3}$ (x - 6)

Simplify to find that:

y = $-\frac{2}{3}x$ + 4 + 1

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