Question

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

Answer 1

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 m equals -5, we start

by plugging a -5 in for m in 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.

Answer 2

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