Question

Without sketching the graph, find the x-intercepts and y-intercepts of the graph of the equation. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 8x - 7y = 168 O A. The x-intercept(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OB. There are no x-intercepts. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The y-intercept(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B . There are no y-intercepts. O

Answer 1

The x-intercept is 21 and the y-intercept is -24.

Step-by-step explanation:

The x-intercept represents the point(s) where the graph of the equation intersects the x-axis. To find the x-intercepts, we set y to zero in the equation and solve for x. In this case, the equation is 8x - 7y = 168. By substituting y with 0, we get 8x - 7(0) = 168, which simplifies to 8x = 168. Dividing both sides by 8 gives us x = 21. So, the x-intercept is 21.

The y-intercept represents the point(s) where the graph of the equation intersects the y-axis. To find the y-intercept, we set x to zero in the equation and solve for y. In this case, by substituting x with 0 in the equation 8x - 7y = 168, we get 8(0) - 7y = 168, which simplifies to -7y = 168. Dividing both sides by -7 gives us y = -24. So, the y-intercept is -24.