How do you find 2 points that lie on the graph of this equation other than the x and y intercepts 3y + 2x = 6?

Aug 29, 2016

$\left(9 , - 4\right) \mathmr{and} \left(- 9 , 8\right)$

Explanation:

Choose any x-value, substitute and work out the y-value,
Or, choose a y-value, substitute and work out the x-value.

Re-arrange the equation to make this easier.

$y = - \frac{2}{3} x + 2$ ( choose x as a multiple of 3)

Or

$x = - \frac{3}{y} 2 + 3$ (choose even values of y)

For example:
$x = 9 , \text{ } y = - \frac{2}{3} \times \left(9\right) + 2 = - 4 \rightarrow \left(9 , - 4\right)$

$y = 8 , \text{ } x = - \frac{3}{2} \times \left(8\right) + 3 = - 9 \rightarrow \left(- 9 , 8\right)$

You can choose any number of values for x and/or y to find as many points as you need.