1. The problem statement, all variables and given/known data 1) Find the equation of the form y = mx+b of the line through the points (2, 3) and the midpoint of the line segment joining (−1, 4) and (3, 2). 2) Calculate the coordinates of the point(s) where the line through the point (−1, 2) with slope 1/2 intersects the circle with centre the origin and radius 5. 3) Find all values of k so that 4kx^2 + 3x + k = 0 has two distinct real roots. 2. Relevant equations 1) y=mx+b 2) I really do not know 3) Factor and then solve for k 3. The attempt at a solution 1) m=(2-4)/(3--1) That is my slope, but what is the y intercept? 2) I don't really understand the question. 3) How am I to factor a polynomial with 2 unknowns? Please help. I'm really lost.