Can you solve this??

Question

I'm starting higher maths at school but am stuck on a homework question Can you help me?

1.The Points A and B have coordinates (a,a^2) and (2b,4b^2) respectively. Determine the gradient of Ab in its simplest form.

Answer 1

let   (x1,y1) be (a,a`2)

and (x2.y2) be (2b,4b`2)

gradient AB = (y2 - y1) / (x2 - x1)



= (4b`2 - a`2) / (2b - a)

= 4(b`2 - (a/2)`2)) / 2(b - (a/2))

= 2 (b + a/2) (b - a/2) / (b - a/2)

= 2b + a

i hope i helped...