Question

is the slope of this line positive or negative?
a) positive

b) negative

graph of a line with points at (0, 2) and (3, 0), and grid from -2 to 6 on x - axis and -3 to 5 on y - axis

Explanation:

Step1: Recall slope definition

Slope $m = \frac{\Delta y}{\Delta x}$, where $\Delta y = y_2 - y_1$ and $\Delta x = x_2 - x_1$.

Step2: Analyze line direction

The line goes from a higher $y$-value to a lower $y$-value as $x$ increases. So $\Delta y$ is negative, $\Delta x$ is positive. Thus $m=\frac{\text{negative}}{\text{positive}}=\text{negative}$.

Answer:

b) negative