Question

A particle starts at A(−2,3) and its coordinates change by Δx=4 and Δy=−7. Find its new position.

Answer 1

The new position of the particle, after changes in its coordinates by Δx = 4 and Δy = −7 from its initial position A(−2, 3), is (2, −4).

Step-by-step explanation:

To find the new position of the particle that starts at A(−2, 3) and changes by Δx = 4 and Δy = −7, we need to add the change in x (Δx) to the x-coordinate of A and the change in y (Δy) to the y-coordinate of A.

The new x-coordinate is: −2 + 4 = 2.

The new y-coordinate is: 3 + (−7) = −4.

So, the new position of the particle is (2, −4).