Question

An ant walked on the coordinate plane from point A( − 3,1) to point B(1,25) by the shortest path. Find y-coordinate of the point where the ant intersected y-axis.

Answer 1

19

Explanation:

The shortest path is a straight line. The slope of that line is:

m = (25 − 1) / (1 − (-3))

m = 6

The point where the ant intersects the y-axis has an x-coordinate of 0. The slope between that point, and any other point on the line, is 6.

6 = (y − 1) / (0 − (-3))

y = 19