Question

each aisle handing out food samples. the workers are spaced apart equally and set up in a long straight line down the centre of the store. the positions of three workers are plotted on the cartesian plane below. if the first worker is set up at (-25,7) and the second worker at (-11,15), what is the location of the third worker?

Explanation:

Step1: Find the difference in x - coordinates

The difference in x - coordinates between the first (-25) and second (-11) workers is $\Delta x=-11-(-25)=-11 + 25 = 14$.

Step2: Find the difference in y - coordinates

The difference in y - coordinates between the first (7) and second (15) workers is $\Delta y=15 - 7=8$.

Step3: Calculate the x - coordinate of the third worker

Since the workers are equally spaced, add the $\Delta x$ to the x - coordinate of the second worker. So the x - coordinate of the third worker is $x=-11+14 = 3$.

Step4: Calculate the y - coordinate of the third worker

Add the $\Delta y$ to the y - coordinate of the second worker. So the y - coordinate of the third worker is $y=15 + 8=23$.

Answer:

$(3,23)$