How do you find the slope of #x = -3#?
1 Answer
There an undefined slope. (No slope)
Explanation:
Generally, lines have the equation of
If the equation is
However, what you have there isn't any normal line. It's a vertical line. Let's try to plot this.
To plot, I'm going to put it into my calculator (If you want to, try using www.desmos.com/calculator, its a great web plotter)
As you can see, this line is vertical! It goes directly up. We know that because the equation says that X is equal to -3. It is telling us that no matter what the Y value is, X will be -3.
For example, if Y is 4, X will be -3. If Y is 400000032, x will be -3.
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So, let's prove that a vertical line has an undefined slope.
The equation to find slope is to take two points
So, let's take two points. Let's say that Y is equal to 3 and 2. In that case, since X is always -3, our points would be
Now, let's substitute into our formula.
As you can see, the final slope is
Cheers!