Final answer:
The coordinates of point A, where the line 4x - 3y + 12 = 0 meets the x-axis, are (-3, 0) as at the x-axis, y is always 0.
Step-by-step explanation:
To find the coordinates of point A where the line 4x - 3y + 12 = 0 intersects the x-axis, we need to realize that any point on the x-axis has a y-coordinate of 0. If we set y = 0 in the equation of the line and solve for x, we can find the x-coordinate of point A.
So, plugging in y = 0 into the equation, we have:
4x - 3(0) + 12 = 0
4x + 12 = 0
4x = -12
x = -3
The coordinates of point A are thus (-3, 0).