# How do you graph using the intercepts for -x+3y=-5?

Mar 29, 2018

graph{(-5+x)/3 [-10, 10, -5, 5]}

#### Explanation:

We can draw a straight line between the x intercept (when y=0) and the y intercept (when x=0)

x intercept: $- x + 3 \left(0\right) = - 5$ so $- x = - 5$ so $x = 5$

So this gives you one co-ordinate (5,0)

y-intercept $- \left(0\right) + 3 y = - 5$ so $y = - \frac{5}{3}$

So this gives another set of co-ordinates $\left(0 , - \frac{5}{3}\right)$

So we sketch a line between these two points graph{(-5+x)/3 [-2.41, 7.654, -2.766, 2.266]}