Question

Explain why the slope of line a is (2)/(6). Label the horizontal and vertical sides of the triangle with expressions representing their length. Explain why (y-7)/(x-5)=(2)/(6).

Answer 1

The slope of a line passing through points (1, 0.1) and (7, 26.8) is calculated as 4.45 using the slope formula, which is closest to option b (4.5).

Step-by-step explanation:

The question involves finding the slope of a line that passes through two given points.

The slope represents the steepness of a line and is calculated by finding the rise over run, which is the change in y-values (vertical change) divided by the change in x-values (horizontal change).

To calculate the slope for a line passing through Point 1: (1, 0.1) and Point 2: (7, 26.8), you can use the slope formula m = (y2 - y1) / (x2 - x1). Plugging in the values from the points gives us:

m = (26.8 - 0.1) / (7 - 1)

m = (26.7) / (6)

m = 4.45

Therefore, the slope of the line is 4.45, which is nearest to option b, 4.5.