Question

Point A is on a line that has a slope of 3. Which of these could be the coordinates of another point on the line?

Answer 1

The fromula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have A(4, 3) and m = 3.

(0, 3)

`(3-3)/(0-4)=0\\eq3`

(5, 0)

`(0-3)/(5-4)=(-3)/(1)=-3\\eq3`

(3, 0)

`(0-3)/(3-4)=(-3)/(-1)=3\qquad CORRECT`

(0, 0)

`(0-3)/(0-4)=(-3)/(-4)=(3)/(4)\\eq3`

Answer: (3, 0).