Question

How do you graph `x=-5` by plotting points?

Answer 1

See a solution process below:

Explanation:

To plot a linear equation we just need to plot 2 points and then draw a straight line through the two points.

`x = -5` indicates for each and every value of `y`; `x` is equal to `-5`.

We can choose any two values for `y` to plot two points:

For: `y = -2`; `x = -5` or `(-5, -2)`

For: `y = 2`; `x = -5` or `(-5, 2)`

We can plot these two points as:

graph{((x+5)^2 + (y+2)^2 - 0.025)((x+5)^2 + (y-2)^2 - 0.025) = 0 [-10, 10, -5, 5]}

We can now draw a straight line through the two points:

graph{(x+5)((x+5)^2 + (y+2)^2 - 0.025)((x+5)^2 + (y-2)^2 - 0.025) = 0 [-10, 10, -5, 5]}

`x = -5` is a vertical line going through `-5` on the horizontal axis.