How do you graph #x=-10# using intercepts?

Question

Isaiah Anthony · Accepted Answer

#x = -10# is a vertical line.

It has one intercept (an x-intercept) at #x=-10#.

Draw this intercept on the graph (at the point #(-10, 0)#), as shown below.

We know that the line passes through this point. We also know that the line is vertical because it is of the form #x=a#. So, all we have to do is draw a vertical line through the point we just drew (shown above).

The graph shown above is the graph of #x=-10#.

Final Answer

Nathan Axel · Answer

undefined To graph the equation $ x = -10 $ using intercepts, you plot the points where the line intersects the x-axis and the y-axis. Since the equation is $ x = -10 $, it means that the line is vertical and passes through the point $(-10,0)$ on the x-axis. So, the x-intercept is $(-10,0)$. There is no y-intercept because the line is vertical and does not intersect the y-axis. Therefore, the graph of $ x = -10 $ is a vertical line passing through the point $(-10,0)$ on the x-axis.

Savannah Anderson · Answer

undefined To graph the equation $x = -10$ using intercepts:

1. **Find the y-intercept**: Since the equation is in the form $x = \text{constant}$, it doesn't directly have a y-intercept. The line is vertical and parallel to the y-axis, so it crosses the y-axis at every point. Therefore, we can say the y-intercept is undefined.

2. **Find the x-intercept**: There is no x-intercept for a vertical line like $x = -10$.

3. **Plot the line**: Since the equation $x = -10$ represents a vertical line passing through the point $(-10, 0)$ on the x-axis, you plot this point on the graph. Then, draw a vertical line through this point extending upwards and downwards. This line represents $x = -10$.

So, the graph of $x = -10$ is a vertical line passing through the point $(-10, 0)$ on the x-axis.