Answer
points on the graph $$(0,-2), (10,0)$$
Work Step by Step
$$x - 5y = 10$$
We can graph the equation by finding the x-intercept and the y-intercept.
if $x=0$
$$x - 5y = 10$$ $$0 - 5y = 10$$ $$- 5y = 10$$
Divide both sides by $-5$
$$\frac{- 5}{-5}y = \frac{10}{-5}$$ $$y=-2$$
if $x=0$
$$x - 5y = 10$$ $$0 - 5y = 10$$ $$- 5y = 10$$
Divide both sides by $-5$
$$\frac{- 5}{-5}y = \frac{10}{-5}$$ $$y=-2$$
if $x=0$
$$x - 5y = 10$$ $$0 - 5y = 10$$ $$- 5y = 10$$
Divide both sides by $-5$
$$\frac{- 5}{-5}y = \frac{10}{-5}$$ $$y=-2$$
Thus, we have point $(0,-2)$.
if $y=0$
$$x - 5y = 10$$ $$x - 5(0) = 10$$ $$x = 10$$
Thus, we have point $(10,0)$.