Final answer:
The x-intercept of the line y = -9x - 14 is (-1.5556, 0) and the y-intercept is (0, -14). These are found by setting y and x to zero, respectively, and solving for the other variable.
Step-by-step explanation:
To determine the intercepts of the line given by the equation y = -9x - 14, we need to find both the x-intercept and the y-intercept.
The x-intercept is the point where the line crosses the x-axis. At this point, the value of y is 0. We can find the x-intercept by setting y to 0 in the equation and solving for x:
- 0 = -9x - 14
- 9x = -14
- x = -14 / 9
- x ≈ -1.5556
So, the x-intercept is at approximately (-1.5556, 0).
The y-intercept is the point where the line crosses the y-axis. At this point, the value of x is 0. We can find the y-intercept by setting x to 0 in the equation:
So, the y-intercept is at (0, -14).
In summary, the intercepts of the line are x-intercept at (-1.5556, 0) and y-intercept at (0, -14).