Question

Line AB contains points A (3, −2) and B (1, 8). The slope of line AB is:

A. −5
B. Negative 1 over 5
C. 1 over 5
D. 5

Answer 1

The slope of line AB, using points A (3, −2) and B (1, 8), is calculated as (y2 - y1) / (x2 - x1) which results in -5, indicating it is a straight line with a negative slope.

Step-by-step explanation:

The slope of a line can be determined using any two points on the line by calculating the change in the y-coordinates divided by the change in the x-coordinates. Using points A (3, −2) and B (1, 8), let's calculate the slope (m).

m = (y2 - y1) / (x2 - x1)
= (8 - (-2)) / (1 - 3)
= (8 + 2) / (1 - 3)
= 10 / -2
= -5

So, the slope of line AB is -5, which indicates that it is a straight line with negative slope.