Question

find the length of the line segment whose endpoints are (-3, 4) and (5,4). a. 6 b. 8 c. 10 d. 44

Explanation:

Step1: Identify the formula for distance between two points with the same y-coordinate.

If two points \((x_1, y)\) and \((x_2, y)\) have the same \(y\)-coordinate, the distance \(d\) between them is given by \(d = |x_2 - x_1|\).
Here, the two points are \((-3, 4)\) and \((5, 4)\), so \(x_1=-3\), \(x_2 = 5\), and \(y = 4\) (same for both points).

Step2: Calculate the distance.

Substitute the values into the formula: \(d=|5 - (-3)|\)
Simplify the expression inside the absolute value: \(5-(-3)=5 + 3=8\)
Then, \(|8| = 8\).

Answer:

B. 8