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

1 Answer
Mar 10, 2016

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.