Final answer:
The equation in point slope form with a slope of 1/2 that passes through the point (2,-5) is y + 5 = (1/2)(x - 2).
Step-by-step explanation:
To write an equation in point slope form with a slope (m) of 1/2 and passing through the point (2,-5), we use the following formula:
y - y1 = m(x - x1)
The variables (x1,y1) represent the coordinates of the given point through which the line passes. Substituting the given point (2,-5) into the formula along with the slope of 1/2, the equation becomes:
y − (-5) = (1/2)(x − 2)
Simplifying, we get:
y + 5 = (1/2)(x − 2)
This equation is now in point slope form indicating a line with a slope of 1/2 that passes through the point (2,-5).