Use the arc length formula to find the length of the curve y = 4x − 5, −1 ≤ x ≤ 3. check your answer by noting that the curve is a line segment and calculating its length by the distance formula.

Step-by-step explanation:

Let's find the answer by using the arc length formula which is:

First, let's find dy/dx which is:

y=4x-5

y'=4*(1)-0

y'=4, now let's use the formula:

Now, using the distance formula we have:

So we have two points (-1, -9) and (3, 7) so:

Notice both equations gave the same length .

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