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 need to find the slope and the y-intercept. The slope is given by (y2 - y1)/(x2 - x1) = (5 - 3)/(4 - 2) = 2/2 = 1. The equation of the line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. We can substitute one of the points into this equation to solve for b. Using the point (2, 3), we get 3 = 1(2) + b, which simplifies to 3 = 2 + b. Subtracting 2 from both sides gives b = 1. Therefore, the equation of the line is y = x + 1.