Answer:
y = -(4/5)x + 7
Explanation:
recall that the point-slope form of a linear equation is given as
y - y₁ = m (x - x₁)
in our case, we are given
slope, m = -4/5
and a point (x₁, y₁) = (5,3)
hence we simply substitute these values into the equation
y - y₁ = m (x - x₁)
y - 3 = -(4/5) (x - 5) (we will simplify this to convert to slope-intercept form)
y - 3 = -(4/5) (x) - (-4/5)(5)
y - 3 = -(4/5)x +4 (add 3 to both sides)
y = -(4/5)x +4 +3
y = -(4/5)x + 7