Question

In Exercises \(1-4,\) find the coordinate increments from \(A\) to \(B\). $$A(1,2), \quad B(-1,-1)$$

Short answer

The coordinate increments (Δx, Δy) from point A to point B are (-2, -3).

Step-by-step solution

Identify the coordinates

The first step is to identify the coordinates for the points A and B. Point A has the coordinates (1,2) and point B has the coordinates (-1,-1). Thus, \( x_A = 1, y_A = 2, x_B = -1, y_B = -1 \).

Calculate the x-coordinate increment

The next step is to calculate the x-coordinate increment, which is \( Δx = x_B - x_A = -1 - 1 = -2 \).

Calculate the y-coordinate increment

Finally, calculate the increment in the y-coordinate. This can be calculated as \( Δy = y_B - y_A = -1 - 2 = -3 \).