On a movie set, an archway is modeled by the equation y = -0.5x^2 + 3x, where y is the height in feet and x is the horizontal distance in feet. a laser is directed at the archway at an angle modeled by the equation -0.5x + 2.42y = 7.65 such that the beam crosses the archway at points a and b. at what height from the ground are the points a and b?
a.) 1.5 feet and 3.5 feet
b.) 1.4 feet and 4 feet
c.) 3.5 feet and 4 feet
d.) 4 feet and 4 feet