Final answer:
The equation of the line passing through the point (2,4) with a slope of 1/2 is y = (1/2)x + 3.
Step-by-step explanation:
To find the equation of a line in slope-intercept form, we use the formula y = mx + b, where m is the slope and b is the y-intercept. Given the point (2,4) and the slope 1/2, we can substitute the values into the formula to find the equation:
y = (1/2)x + b
Using the coordinates of the point (2,4), we can substitute x = 2 and y = 4:
4 = (1/2)(2) + b
4 = 1 + b
b = 3
Therefore, the equation of the line in slope-intercept form is y = (1/2)x + 3.