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

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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;

You are to show how to correctly graph y = -x - 5-example-1
User Nulldroid
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