Question

What is the slope of the line containing point A (2,6) and point B (-3,-2)?

a. 1.6
b. 0.625
c. -1.6
d. -0.625

Answer 1

The slope of the line containing points A (2,6) and B (-3,-2) is calculated using the slope formula and results in a slope of 1.6, which means it is a straight line with a positive slope.

Step-by-step explanation:

The slope of a line passing through two points can be found using the formula: slope (m) = (y2 - y1) / (x2 - x1). To find the slope of the line containing points A (2,6) and B (-3,-2), we use their coordinates:

1. Identify the coordinates of point A as (x1, y1) = (2, 6) and point B as (x2, y2) = (-3, -2).
2. Apply the slope formula: m = (y2 - y1) / (x2 - x1) = (-2 - 6) / (-3 - 2) = (-8) / (-5).
3. Simplify the result to find the slope: m = 8/5 or 1.6.

Therefore, the correct answer is (a) 1.6, showing that it is a straight line with a positive slope.