Question

Points (3, 1), (6, 4) and (8, 6) are:

Options

• collinear

• vertices of an equilateral triangle

• vertices of a right triangle

• vertices of an isosceles triangle

Answer 1

Collinear

Explanation:

Slope between (3, 1) and (6, 4)

= `(4 - 1)/(6 - 3)` 

= `3/3`

= 1

And slope between (6, 4) and (8, 6)

= `(6 - 4)/(8 - 6)` 

= `2/2`

= 1 

Equal slopes mean the three points lie on the same straight line, so they are collinear.