Question

if a line moves down to the right, what kind of slope will it have?
negative
positive
no slope
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Explanation:

Step1: Recall slope concept

The slope $m=\frac{\Delta y}{\Delta x}$, where $\Delta y$ is the change in the y - coordinate and $\Delta x$ is the change in the x - coordinate.

Step2: Analyze line movement

When a line moves down to the right, as $x$ increases ($\Delta x>0$), $y$ decreases ($\Delta y < 0$).

Step3: Determine slope sign

Since $m=\frac{\Delta y}{\Delta x}$ and $\Delta y<0$, $\Delta x > 0$, then $m<0$, so the slope is negative.

Answer:

A. negative