x - y = 6
First clear of fractions by multiplying every term by the LCD of 6
6·x - 6·y = 6·6
3x - 4y = 36
Find the x intercept by substituting 0 for y and solving for x
and that will be the x-coordinate of the x-intercept and the
y-coordinate will be 0:
3x - 4y = 36
3x - 4(0) = 36
3x - 0 = 36
3x = 36
x =
x = 12
The x intercept is therefore (12,0)
Find the y intercept by substituting 0 for x and solving for y
and that will be the y-coordinate of the y-intercept and the
x-coordinate will be 0:
3x - 4y = 36
3(0) - 4y = 36
0 - 4y = 36
-4y = 36
y =
y = -9
The y intercept is therefore (0,-9)
Edwin
