Question

let P with coordinates (p,q) be a fixed point on the curve with equation y=mx+C and let Q with coordinates (r,s) be any other point on y=mx+c. Use the fact that the co-ordinates of P and Q satisfy the equation y=mx+c to show that the gradient of PQ is m for all positions of Q

Answer 1

if co-ordinates satisfy the equation then both P and Q lie on the curve. meaning gradient is the same at all positions of Q because gradient is a property of a curve and is the same throughout the whole curve. Can anyone check my explanation if its right or if something is missing.