GCSE Maths Practice: coordinates
This question shows how to verify which points lie on a given line.
Substitute x into y=mx+c. If result matches y, the point lies on the line.
To determine if a point lies on a line, substitute its x-coordinate into the equation and check if the resulting y matches. For y=2x+1, points (0,1), (1,3), (2,5) lie on the line because substituting x into the equation gives the correct y. For example, x=0: y=2*0+1=1, which matches (0,1). Checking each candidate point confirms if it lies on the line. This skill is useful for solving graph-based problems, verifying solutions, and understanding coordinate geometry. It also supports understanding linear patterns, function evaluation, and plotting lines accurately. Practice with multiple points and different lines enhances confidence in verifying points quickly.