Question

What is the slope (in its most reduced form) of the line shown below?

A) 2/3
B) 3/2
C) 1/2
D) 2/1

Answer 1

The slope of the line passing through the two given points is 89/20 Therefore the correct answer is B) 3/2.

Step-by-step explanation:

The slope of a line can be found using the formula: slope = (change in y) / (change in x). In this case, we can calculate the change in y by subtracting the y-coordinates of the two points, and the change in x by subtracting the x-coordinates of the two points.

The two points given are (1, 0.1) and (7, 26.8), so the change in y is 26.8 - 0.1 = 26.7 and the change in x is 7 - 1 = 6. Therefore, the slope is 26.7 / 6 = 4.45.

However, the question asks for the slope in its most reduced form, so we need to simplify the fraction. The slope in its most reduced form is 4.45 = 89/20. So, the answer is option B) 89/20.