Question

what is a simple way to tell that 1\frac{1}{2} is not the slope of this graph? the y-intercept is 2\frac{1}{2}, not 1\frac{1}{2}. the line slants downward, so the slope is negative. a slope cannot be a mixed number. the change in x from a to b is negative.

Explanation:

To determine why \(1\frac{1}{2}\) is not the slope, we analyze the graph's direction. A line slanting downward has a negative slope. \(1\frac{1}{2}\) is positive, so the line's downward slant (negative slope) shows \(1\frac{1}{2}\) can't be the slope. Other options are incorrect: y - intercept is unrelated to slope sign, slopes can be mixed numbers, and change in x from A(0, \(2\frac{1}{2}\)) to B(0.833, 0) is positive (0.833 - 0>0).

Answer:

The line slants downward, so the slope is negative.