Question

Points (-2,3), (3,8) and (0,5) lie on a straight line. work out the gradient.

Answer 1

gradient = 1

Explanation:

calculate the gradient m using the gradient formula using any pair of points. Since the 3 points lie on a straight line the gradient between any pair will be equal.

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 2, 3 ) and (x₂, y₂ ) = (3, 8 )

m =
`(8-3)/(3-(-2))` =
`(5)/(3+2)` =
`(5)/(5)` = 1