Question

The straight line 3y = 5x + h - 6 intersect the x-axis at 4k, where h and k are constants. explain h in terms of k

Answer 1

When a function intersects with the x-axis, it's y value must be 0. That means when the straight line intersects with the axis, it's at the point (4k,0), so plugging those numbers into our original equation yields:

$0=20k+h-6 \implies\\ 6=20k+h \implies \\ 6-20k=h$