Find the value of k so that the line through the given points has slope m 2k 3 1 k m 2?

If the two points are (2k, 3) and (1, k) with a slope of 2, then k is equal to 1. This is because slope is rise over run, meaning the differences of y over the differences of x. If you have (2,3) and (1,1), then the difference of the y-coordinates is 2, and the difference of the x-coordinates is 1. Seeing as 2/1 is equal to 2, you know that k=1 works. k=1