we have the equation
4x+3y=12
this is a linear equation
step 1
Find out the y-intercept
(value of y when the value of x is zero)
For x=0
4(0)+3y=12
3y=12
y=4
the y-intercept is the point (0,4)
step 2
Find the x-intercept
(value of x when the value of y is zero)
For y=0
4x+3(0)=12
4x=12
x=3
the x-intercept is the point (3,0)
step 3
graph the equation
plots the intercepts, join them to draw the line
see the attached figure