The value of k can be any number divisible by 15. See solution.
Practice makes perfect
The x- and y-intercepts are the points where a relation crosses the x- and y-axes. To find the x-intercept, we need to find the value of x when y=0, and vice versa for the y-intercept. We can solve for the intercepts in terms of k first.
The y-intercept of the equation is y= k5. Because this intercept must also be an integer, k must be divisible by 5 as well. Knowing that k must be divisible by both 3 and 5, we can say that it must be divisible by their Least Common Multiple, 15. Therefore, k is any integer that divides evenly by 15.
