Question

The function y = -x - 1 and y = ½x + k intersect at the point (-2,1). Find the value of k.

Answer 1

k = 2

Explanation:

Fill in the given point values and solve for k.

y = (1/2)x + k

1 = (1/2)(-2) +k . . . . . . for x = -2, y = 1

1 = -1 +k . . . . simplify; next, add 1

2 = k