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## A Straight Line Through a Circle

To find the coordinates where a straight line passes through a circle in four steps.

**First:** Get the straight line and circle equations.

**Second:** Replace the “y” variable in the circle equation with the straight line (remember to move to the other side of the equals sign).

and

**Third:** Multiply out and factorise.

The factorised equation will give you one or two “x” values. These values are the x coordinates of where the line intercepts the circle.

**Fourth:** To find the corresponding y coordinate(s), plug the “x” value(s) into the original straight line equation.

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Y = X + P

Find Y

X(beer) P(amount of beer)

X is directly proportionate to P thus leaving Y a variable. I have deduced that Y is the babalas factor.