Question

If point A, having
coordinates (p, 3) and
point B, with coordinates
(6, p) lie on a line having
a slope of 2, what is the
value of p?

Answer 1

gradient or slope=y2 -y1

x2 - x1

so for A, p is x1 and 3 is y1..

For B, 6 is x2 and p is y2

2= p - 3

6 - p

2 ( 6 - p) = p - 3

12 - 2p = p - 3

-2p + p = -3 - 12

-p = - 15

p = 15