Question

How do you graph the equation `-x+3y=9`?

Answer 1

See a solution process below:

Explanation:

First, solve for two points which solve the equation and plot these points:

First Point: For `x = 0`

`(-0) + 3y = 9`

`0 + 3y = 9`

`3y = 9`

`(3y)/color(red)(3) = 9/color(red)(3)`

`y = 3` or `(0, 3)`

Second Point: For `y = 0`

`-x + (3 * 0) = 9`

`-x + 0 = 9`

`-x = 9`

`color(red)(-1) xx x = color(red)(-1) xx 9`

`x = -9` or `(-9, 0)`

We can next plot the two points on the coordinate plane:

graph{(x^2+(y-3)^2-0.035)((x+9)^2+y^2-0.035)=0 [-10, 10, -5, 5]}

Now, we can draw a straight line through the two points to graph the line:

graph{(-x + 3y - 9)(x^2+(y-3)^2-0.035)((x+9)^2+y^2-0.035)=0 [-10, 10, -5, 5]}