A line passes through the point (10, -4) and has a slope of -1/2. Write an equation in slope-intercept form for this line.

General formula to make slope-intercept form
y - y₁ = m(x - x₁)

From the question, we know that
m = -1/2
(x₁,y₁) = (10,-4)

Put the number to the formula
y - y₁ = m(x - x₁)
y - (-4) = -1/2(x - 10)
y + 4 = -1/2 (x - 10)
y + 4 = (-1/2)x + 5
y = (-1/2)x + 1