Final answer:
The line passing through points A(-2,0) and B(6,4) has a positive slope, calculated as 1/2. This means it is a straight line that slants upward from left to right.
Step-by-step explanation:
The student's question pertains to finding the characterization of a straight line that passes through two given points, A(-2,0) and B(6,4).
To determine the type of line these points create, we calculate the slope using the formula:
slope (m) = (y2 - y1) / (x2 - x1)
Substituting the coordinates of A and B, we get:
slope (m) = (4 - 0) / (6 - (-2))
slope (m) = 4 / 8
slope (m) = 1/2
Since the slope is a positive fraction, the line has a positive slope. We can also classify the line using the options presented: