Final answer:
The steepest line can be determined by calculating the gradient, where a steeper line will have a larger absolute gradient value. To find the gradient of line B, which is steeper between lines A and B, the formula Δy/Δx would be applied using two points from line B.
Step-by-step explanation:
The steepness of a line on a coordinate grid can be determined by finding its gradient, also known as the slope. The gradient is calculated as the change in the y value (rise) over the change in the x value (run). According to the information provided, we have two lines, A and B, with different characteristics. If line A is a decreasing line and line B is an increasing line, and one of them is steeper than the other, then the line with the steeper slope will have a larger absolute value for its gradient.
Based on the descriptions given, we assume that line B has a greater gradient than line A. Therefore, to calculate the gradient as an integer or a fraction, we would use two points from line B and apply the formula:
Gradient (m) = Δy / Δx
Without specific points provided, we cannot calculate the exact value of the gradient here. However, assuming we had two points (x1, y1) and (x2, y2) from line B, the gradient calculation would be:
Gradient (m) = (y2 - y1) / (x2 - x1)
The gradient should be reported as either an integer or a fraction in its simplest form to indicate the steepness of the line.