Question

what is a simple way to tell that $-3\frac{1}{4}$ is not the slope of this graph? graph of a line with points a(0, -3\frac{1}{2}) and b(1\frac{3}{4}, 0) the y-intercept is $-3\frac{1}{2}$, not $-3\frac{1}{4}$. the line slants upward, so the slope is positive. a slope cannot be a mixed number. the change in x from a to b is positive.

Explanation:

To determine why \(-3\frac{1}{4}\) is not the slope, we analyze the graph's direction. The line slants upward from left to right, indicating a positive slope. However, \(-3\frac{1}{4}\) is negative, so the option stating "The line slants upward, so the slope is positive" explains why \(-3\frac{1}{4}\) (a negative value) can't be the slope. Other options either relate to y - intercept, incorrect slope - number type (slopes can be mixed numbers), or x - change (not relevant to slope sign here).

Answer:

The option: "The line slants upward, so the slope is positive"