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## A line with a slope of – 5 passes through the points (3,n) and (4, – 5). What is the value of n?

Question

A line with a slope of – 5 passes through the points (3,n) and (4, – 5). What is the value of n?

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Mathematics
2 weeks
2021-09-02T09:00:33+00:00
2021-09-02T09:00:33+00:00 2 Answers
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## Answers ( )

Answer:n = 0

Step-by-step explanation:slope = y2-y1/x2-x1

so

-5 -n / 4-3 = -5

-5 -n /1 =-5

-5 – n = -5

n = 0

Step-by-step explanation:To find n, plug all the given information into the slope formula, which is shown here: m = y₂ – y₁ / x₂ – x₁.Since our slope or

mequals -5, we startby plugging a -5 in for

min our formula.Now, y₂ – y₁ would be -5 – n and x₂ – x₁ would be 4 – 3.

So we have -5 = -5 – n/4 – 3.

First we would simplify 4 – 3 to get 1.

So in our next step we have -5 = -5 – n/1.

Now get rid of the fraction by multiplying both sides by 1

and since multiplying anything by 1 is itself, just cancel the 1.

So we have -5 = -5 – n.

Add 5 to both sides to get 0 = -n.

Divide both sides by -1 to get 0 = n.

So the value of n is 0.