What is the equation of the line that passes through the points (2, 3) and (4, 5)?
Correct: A
The slope of the line that passes through the points (2, 3) and (4, 5) is m = (y2 - y1)/(x2 - x1) = (5 - 3)/(4 - 2) = 2/2 = 1. The equation of a line with slope m and passing through the point (x1, y1) is given by y - y1 = m(x - x1). Plugging in the slope and the point (2, 3), we get y - 3 = 1(x - 2), which simplifies to y - 3 = x - 2, and then to y = x + 1.