Explanation:
We can use the point-slope form of the equation of a line to solve this problem. The point-slope form is:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope of the line.
In this case, we know that m = 1/2 and the line passes through the point (4, 10). So we can substitute these values into the point-slope form to get:
y - 10 = (1/2)(x - 4)
Simplifying this equation, we can multiply both sides by 2 to eliminate the fraction:
2y - 20 = x - 4
Adding 4 to both sides, we get:
2y - 16 = x
or
x - 2y + 16 = 0
So the equation of the line with slope m = 1/2 and passing through (4, 10) is x - 2y + 16 = 0.