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 can use the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. First, we find the slope m = (y2 - y1)/(x2 - x1) = (5 - 3)/(4 - 2) = 2/2 = 1. Now that we have the slope, we can use one of the points to find b. Using (2, 3), we substitute x = 2 and y = 3 into y = mx + b, getting 3 = 1*2 + b, which simplifies to 3 = 2 + b. Solving for b, we get b = 1. Therefore, the equation of the line is y = x + 1.