Question

Find the x- and y-intercepts of the graph of 3x-4y=273x−4y=27. State each answer as an integer or an improper fraction in simplest form.

Answer 1

The x-intercept is 9 and the y-intercept is -27/4.

Step-by-step explanation:

To find the x-intercept of a graph, we need to set the value of y to zero and solve for x. Similarly, to find the y-intercept, we set the value of x to zero and solve for y.

For the equation 3x-4y=27, let's find the x-intercept first by setting y=0:

3x-4(0) = 27

3x = 27

x = 9

Therefore, the x-intercept is 9.

Now let's find the y-intercept by setting x=0:

3(0) - 4y = 27

-4y = 27

y = -rac{27}{4}

Therefore, the y-intercept is -rac{27}{4}.