What is the equation of a line that passes through the points (2,3) and (4,5)?
Correct: A
First, find the slope (m) of the line using the formula m = (y2 - y1) / (x2 - x1), which gives m = (5 - 3) / (4 - 2) = 2 / 2 = 1. Then, use the point-slope form of a line equation, y - y1 = m(x - x1), with one of the points, for example, (2,3): y - 3 = 1(x - 2). Simplify this to get y - 3 = x - 2, and then y = x + 1.