What is the x-intercept of the graph of 4x + 3y = 12 ?
What is the y-intercept of the graph of 4x + 3y = 12 ?

To find the intercept point for x or y, substitute 0 for the OTHER
letter, and solve for the remaining letter.  Then make an ordered 
pair, putting 0 for the OTHER letter.

In other words,

To find the x-intercept point, substitute 0 for the OTHER letter,
y. and solve for the remaining letter x.  Then make an ordered pair,
putting that for the x-coordinate, and 0 for the y-coordinate.

  4x + 3y = 12
4x + 3(0) = 12
   4x + 0 = 12
       4x = 12
        x = 3

Put 3 for the x-coordinate and 0 for the y-coordinate, and get
the x-intercept as (3, 0).

To find the y-intercept point, substitute 0 for the OTHER letter,
x. and solve for the remaining letter y.  Then make an ordered 
pair, putting that for the y-coordinate, and 0 for the 
x-coordinate.

  4x + 3y = 12
4(0) + 3y = 12
   0 + 3y = 12
       3y = 12
        y = 4

Put 4 for the y-coordinate and 0 for the x-coordinate, and get
the y-intercept as (0, 4).

Now from the graph of 4x + 3y = 12 below, gotten by plotting
points, we see that the line crosses the x-axis at the point
(3, 0) and the y-axis at the point (0, 4).


 
Edwin
AnlytcPhil@aol.com