What is the equation of the line that passes through the points (2, 3) and (4, 5)?
Correct: A
To find the equation of the line passing through two points, we first find the slope using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) = (2, 3) and (x2, y2) = (4, 5). The slope m = (5 - 3) / (4 - 2) = 2 / 2 = 1. Now, we can use the point-slope form of a line y - y1 = m(x - x1) with either point. Using (2, 3), we have y - 3 = 1(x - 2), which simplifies to y = x + 1.