What is the equation of a line that passes through the points (2,3) and (4,5)?
Correct: A
To find the equation of the line, we first find the slope, m, using the formula m = (y2 - y1) / (x2 - x1). Substituting the given points, we get m = (5 - 3) / (4 - 2) = 2 / 2 = 1. The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. With m = 1 and using one of the points, (2,3), we substitute into the equation to solve for b: 3 = 1*2 + b, so b = 1. Therefore, the equation is y = x + 1.