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 can use the formula for slope m = (y2 - y1)/(x2 - x1), and then use the point-slope form of the line equation, y - y1 = m(x - x1). Given points (2,3) and (4,5), the slope m = (5 - 3)/(4 - 2) = 2/2 = 1. Using point-slope form with (2,3): y - 3 = 1(x - 2). Simplifying, y - 3 = x - 2, which further simplifies to y = x + 1.