Question

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

Answer 1

K=1.25

Explanation:

Firstly, an intersection stated will be regarded as a solution to an equation, so it is easy for anyone to plug the x and y coordinate into a function.

You can take y=1/2x+k and add (-2,1) to the corresponding values as follows.

(1)=1/2(-2)+k

And simplify

1=1/-4+k

Subtract (-1/4) from both sides

1.25=k

If you are required to, convert 1.25 to fraction form: 1 and 1/4 OR 5/4