What is the equation of the line that passes through the points (1, 2) and (3, 4)?
Correct: A
To find the equation of the line, we first find the slope using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) = (1, 2) and (x2, y2) = (3, 4). Thus, m = (4 - 2) / (3 - 1) = 2 / 2 = 1. Now that we have the slope, we can use the point-slope form y - y1 = m(x - x1) with (x1, y1) = (1, 2) to find the equation. Substituting, we get y - 2 = 1(x - 1), which simplifies to y - 2 = x - 1. Adding 2 to both sides gives y = x + 1.