"Find the x- and y-intercepts of the function represented by the equation: -6 + 8y = 24."

Question

asked Sep 18, 2024 75.0k views

1 Answer

Walking · Answer 1 · 2024-09-25T03:17:43+0000

The function -6 + 8y = 24 has a y-intercept at (0, 3.75) and no x-intercept; it represents a horizontal line that crosses the y-axis at 3.75.

To find the x-intercept and y-intercept of the function represented by the equation -6 + 8y = 24, follow these steps:

First, to find the y-intercept, set x to zero and solve the equation for y. However, since there is no x-term in this equation, simply solve for y. After moving -6 to the other side of the equation by adding 6 to both sides, you get 8y = 30. Dividing both sides by 8 gives us the y-intercept at (0, 3.75).
To find the x-intercept, you would typically set y to zero and solve for x. However, in this linear equation, there is no x-term, which means the line is parallel to the x-axis and does not cross it. Therefore, there is no x-intercept.

The equation represents a horizontal line that crosses the y-axis at 3.75 and never crosses the x-axis.