Question

Determine the slope of the line that has the following coordinates: (1.5, 6) (3.75, -12)

A. 18/2.25

B. -18/5.25

C. -6/2.25

D. -18/2.25

Answer 1

The answer to your question is the letter D.

Explanation:

Data

Point A = (1.5, 6)

Point B = (3.75, -12)

Slope measures the steepnees of a line.

Formula

slope = m = (y2 - y1) / (x2 - x1)

-Asign values to x1, y1, x2 and y2

x1 = 1.5 y1 = 6 x2 = 3.75 y2 = -12

-Substitution

m = (-12 - 6) / (3.75 - 1.5)

-Simplification

m = -18 / 2.25

-Result

m = 8

It is possible to simplify more the result so slope = 8.

Answer 2

= -18/2.25

Explanation:

We can find the slope by using the following

m = (y2-y1)/(x2-x1)

= (-12-6)/(3.75 - 1.5)

= -18/2.25