To find the x-intercept, we need to set y = 0 and solve for x. Similarly, to find the y-intercept, we need to set x = 0 and solve for y.
To find the x-intercept:
1. Set y = 0 in the given equation: 8x - 9(0) = 144.
2. Simplify the equation: 8x = 144.
3. Divide both sides of the equation by 8: x = 144/8.
4. Calculate the value of x: x = 18.
Therefore, the x-intercept is (18,0).
To find the y-intercept:
1. Set x = 0 in the given equation: 8(0) - 9y = 144.
2. Simplify the equation: -9y = 144.
3. Divide both sides of the equation by -9: y = 144/-9.
4. Calculate the value of y: y = -16.
Therefore, the y-intercept is (0,-16).
In summary, the x-intercept is (18,0) and the y-intercept is (0,-16).