Question

What is the slope of the line that passes through the points (10, 4) and (-8, 6)?

A) 1/9
B) 9/2
C) -1/9
D) -18/2

Answer 1

The slope of the line passing through the points (10, 4) and (-8, 6) is found using the slope formula (y2 - y1) / (x2 - x1), which gives a slope of -1/9. Hence, the correct answer is C) -1/9.

Step-by-step explanation:

To find the slope of a line passing through two points, you can use the slope formula, which is the change in y divided by the change in x, or (y2 - y1) / (x2 - x1). For the points (10, 4) and (-8, 6), plug the values into the formula like this:

1. Identify the coordinates of the two points: (x1, y1) = (10, 4), (x2, y2) = (-8, 6).
2. Calculate the change in y: y2 - y1 = 6 - 4 = 2.
3. Calculate the change in x: x2 - x1 = -8 - 10 = -18.
4. Divide the change in y by the change in x to find the slope: 2 / -18 = -1/9.

Therefore, the correct answer is C) -1/9.