Search: List (a) the coordinates of any y-intercept and (b) the coordinates of any x-intercept. Do not graph. x = -5
To find the coordinates of the y-intercept and x-intercept given the equation x = -5, it is important to understand what these intercepts represent.
The y-intercept is the point at which the graph of a line intersects the y-axis. Since the equation x = -5 does not involve the variable y, it is a vertical line that extends infinitely up and down parallel to the y-axis. Since it does not intersect the y-axis, the y-intercept is undefined.
The x-intercept, on the other hand, is the point at which the graph of a line intersects the x-axis. In this case, the equation x = -5 represents a vertical line passing through the x-coordinate -5 and extending infinitely in both directions. Since it does not intersect the x-axis, the x-intercept is also undefined.
Therefore, for the equation x = -5, both the y-intercept and x-intercept are undefined.