Question

What is the slope of line segment AT, which connects the points A(2, 8) and T(1, 1), using the given set of points M(-6, 1), A(2, 8), T(1, 1), and H(9, 8)?

A) -7
B) 7
C) -1
D) 1

Answer 1

The slope of the line segment AT connecting points A(2, 8) and T(1, 1) is 7, obtained by calculating the change in y divided by the change in x between these two points.

Step-by-step explanation:

The question asks for the slope of the line segment AT connecting the points A(2, 8) and T(1, 1). To find the slope, we use the formula which is the change in y (vertical) divided by the change in x (horizontal) between two points on a line. Here, the slope m is calculated as:

1. Identify coordinates of point A as (x1, y1) = (2, 8) and point T as (x2, y2) = (1, 1).
2. Calculate the change in y: Δy = y2 - y1 = 1 - 8 = -7.
3. Calculate the change in x: Δx = x2 - x1 = 1 - 2 = -1.
4. Divide the change in y by the change in x to find the slope: m = Δy / Δx = (-7) / (-1) = 7.

Thus, the correct answer is B) 7, which represents the slope of the line segment AT.