Question

How do you graph the line `4x-3y=9`?

Answer 1

The x-intercept for this equation is `(2.25, 0)`
The y-intercept is `(0,-3)`
graph{y=(4/3)x-3 [-10, 10, -5, 5]}

Explanation:

A quick way to graph a linear equation is to find two points that the graph passes through. The two easiest points to locate are the `x`,
`( x, 0)` intercept and the `y`, `(0,y)` intercept. In your equation, substitute `0` in for the `y` variable and solve for `x`:
`4x-3y=9`
`4x-3(0)=9`
`4x-0=9`
`4x=9`
`x=2.25` The x-intercept is `(2.25,0)`
Next, substitute `0` in your equation for `x`, and solve for the y intercept.
`4x-3y=9`
`4(0)-3y=9`
`0-3y=9`
`-3y=9`
y=-3 So the yintercept is `(0,-3)`
Finally ,locate these two intercepts on the `x and y` axis and draw the line through the two intercepts.