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, we first need the slope, which is given by (y2 - y1) / (x2 - x1). Using the points (2,3) and (4,5), the slope is (5 - 3) / (4 - 2) = 2 / 2 = 1. Now that we have the slope (m = 1), we can use the point-slope form of the line equation, y - y1 = m(x - x1), with one of the points, say (2,3), to get y - 3 = 1(x - 2), which simplifies to y - 3 = x - 2, and further to y = x + 1.