Question

For the diagram below, which equation is the correct use of the distance formula?

Answer 1

`17= √((27-12)^2+(y_2-15)^2)`

Explanation:

Consider the following two points on the plane (12, 15) and (27, y2) that are far apart from each other 17 units. Recall that points on the plane use the convention (x, y) for the ordered pair, therefore we can name x1=12, y1=15, and x2=27 to follow with that convention. We can also define that d(the distance) = 17

The distance equation then becomes:

`d=√((x_2-x_1)^2+(y_2-y_1)^2) \\17 = √((27-12)^2+(y_2-15)^2)`