Write the equation of a line in slope-intercept form that has a slope of 3 and passes through the point (2, 4).

To write the equation of a line in slope-intercept form (y = mx + b), start with the slope (m), which is given as 3. Now, use the point (2, 4) to find the y-intercept (b). Plugging the coordinates into the equation gives us 4 = 3(2) + b. Solving for b, we get 4 = 6 + b, leading to b = -2. Therefore, the equation is y = 3x - 2.

To confirm your solution, you can graph the line. Start at the y-intercept (0, -2) and use the slope to find other points: from (0, -2), move up 3 units and right 1 unit to reach (1, 1). Continuing this process will help you visualize and check if the line accurately represents the equation derived using the slope and point provided!