Question

What is a simple way to tell that 112

is not the slope of this graph?

On a coordinate plane, a line goes through points A (0, 2.5) and B (0.833, 0).

Answer 1

To determine if 112 is the slope of the graph, we calculate the slope using the coordinates of points A (0, 2.5) and B (0.833, 0). By applying the slope formula (rise over run), we find that the slope is approximately -3, which demonstrates that 112 is not the slope of this graph.

Step-by-step explanation:

To determine if 112 is not the slope of the given graph, we need to calculate the slope using the coordinates of points A and B. The slope (m) is defined as the change in y (vertical change) divided by the change in x (horizontal change), or the 'rise over run'. Using the given points A (0, 2.5) and B (0.833, 0), we can calculate the slope using the formula:

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

Substituting the values from points A and B, we get:

m = (0 - 2.5) / (0.833 - 0)

m = -2.5 / 0.833

m = -3 (approximately)

Therefore, the slope of the line between points A and B is approximately -3. Hence, we can clearly see that the slope is not 112, disproving the initial claim.