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

1 Answer
Mar 10, 2016

Answer:

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.