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

Solution:

The slope formula is

m = (y\(_2\) - y\(_1\) )/ (x\(_2\) - x\(_1\) )

where the points on the line are A (x\(_1\), y\(_1\)) and B (x\(_2\),y\(_2\))

The slope is the ratio of the change in the y coordinates to the change in the x coordinates.

The two points on the line AB are A (3, −2) and B (1, 8)

Substituting it in the formula

m = (8 - (-2))/ (1-3)

m = 10/-2

m = -5

Therefore, the slope of line AB is -5.

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

Summary:

Line AB contains points A (3, -2) and B (1, 8). The slope of line AB is -5.