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:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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

(0, 3)

$\dfrac{3-3}{0-4}=0\neq3$

(5, 0)

$\dfrac{0-3}{5-4}=\dfrac{-3}{1}=-3\neq3$

(3, 0)

$\dfrac{0-3}{3-4}=\dfrac{-3}{-1}=3\qquad CORRECT$

(0, 0)

$\dfrac{0-3}{0-4}=\dfrac{-3}{-4}=\dfrac{3}{4}\neq3$

Answer: (3, 0).