Question

Find the x- and y-intercepts of the graph of 3x - 4y = 27. State each answer as

fraction in simplest form.
Answer Attempt 1 out of 2
x-intercept:
Submit Answer
y-intercept:

Answer 1

The x-intercept is (9, 0) and the y-intercept is (0, -27/4).

Step-by-step explanation:

To find the x-intercept, we set y to 0 and solve for x. Substitute y = 0 into the equation 3x - 4y = 27:

3x - 4(0) = 27

3x = 27

x = \frac{27}{3} = 9

Therefore, the x-intercept is (9, 0).

To find the y-intercept, we set x to 0 and solve for y. Substitute x = 0 into the equation 3x - 4y = 27:

3(0) - 4y = 27

-4y = 27

y = \frac{27}{-4} = -\frac{27}{4}

Therefore, the y-intercept is (0, -\frac{27}{4}).

Learn more about Intercepts of a linear equation