Question

Find the slope of the line that passes through both points.

(1, 1) and (7, 5)
A. 1/2
B. 2/3
C. 4/3
D. 5/6

Answer 1

The slope of the line passing through the points (1, 1) and (7, 5) is calculated as (5 - 1) / (7 - 1), which simplifies to 2/3. Therefore, the correct answer is B. 2/3.

Step-by-step explanation:

To find the slope of the line passing through the points (1, 1) and (7, 5), you need to use the formula for slope, which is (rise over run). More formally, the slope is calculated by the difference in the y-values divided by the difference in the x-values between two points on a line. So, the formula is:

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

Substituting the given points:

m = (5 - 1) / (7 - 1) = 4 / 6 = 2/3

Thus, the correct answer is B. 2/3.