Answer:
The Answer is: y = 1/4x - 3 1/4
Explanation:
Given point: (5, -2)
Given slope: m = 1/4
Start with the point slope form and then solve for y:
y - y1 = m(x - x1)
y - (-2) = 1/4(x - 5)
y + 2 = 1/4x - 5/4
y = 1/4x - 5/4 - 2
y = 1/4x - 5/4 - 8/4
y = 1/4x - 13/4
y = 1/4x - 3 1/4
Proof:
f(x) = 1/4x - 3 1/4
f(5) = 1/4(5) - 13/4
= 5/4 - 13/4 = -8/4 = -2, giving (5, -2)
Hope this helps!! Have an Awesome day!!! :-)