- The x-intercept is the point at which the graph crosses the x-axis.
- The y-intercept is the point at which the graph crosses the y-axis.
- Let x be 0.
- Then, 12x - 9y = 36
- or, 12(0) - 9y = 36
- or, -9y = 36
- or, y = 36 ÷ -9 = -4
- (x, y) = (0, -4)
- Now, let y be 0.
- Then, 12x - 9y = 36
- or, 12x - 9(0) = 36
- or, 12x = 36
- or, x = 3
- (x, y) = (3, 0)
- So, x-intercepts are 0 and 3 and y-intercepts are -4 and 0.
Answer:
x - intercept (0, 3)
y - intercept (-4, 0)
Hope you could get an idea from here.
Doubt clarification - use comment section.