Question

Given the graph of a proportional relationship, if the (2,7) lies on the graph, what is the value of k? What is the equation of the line?

Answer 1

k=3.5, and y=3.5x is the equation of the line

Explanation:

y and x are proportional means that y = kx for some constant k.

Thus, when y=7 and x=2, we have that 7 = k * 2, so that k = 7/2 = 3.5,

and the equation of the line is y = 3.5x