Question

You are to show how to correctly graph y = -x - 5

Answer 1

Answer and Explanation:

The slope-intercept form of the equation of a line is generally given as;

`y=mx+b`

where m = the slope of the line

b = the y-intercept of the line

So given the equation;

`y=-x-5`

Comparing the two equations, we can deduce the following;

* m = -1

This means that the line will have a negative slope

* b = -5

This means that the line will cut the y-axis at -5.

We can now choose values for x and determine the corresponding values of y and then proceed to plot the graph.

When x = 1;

`\begin{gathered} y=-1-5 \\ y=-6 \end{gathered}`

When x = 0,

`\begin{gathered} y=-0-5 \\ y=-5 \end{gathered}`

When x = -2,

`\begin{gathered} y=-(-2)-5 \\ y=2-5 \\ y=-3 \end{gathered}`

When x = -4,

`\begin{gathered} y=-(-4)-5 \\ y=4-5 \\ y=-1 \end{gathered}`

When x = -6;

`\begin{gathered} y=-(-6)-5 \\ y=6-5 \\ y=1 \end{gathered}`

With the above values and information, we can then go ahead and plot our graph as shown below;