Question: if i am given an equation of a circle and 2 points in a line how do i know if the line intersects the circle and how do i determine the points of intersection

Hi Bernice,

Write the equation of the line in the form y = slope*x + intercept, and plug this expression for y into the equation of the circle. The result is a quadratic equation in the variable x, which can be solved by the quadratic formula.

Chris