How do you graph y+4=−2x by plotting points?

1 Answer
Ryuu
Jun 6, 2017

With functions that have a degree of 1 and are not reciprocal, we can determine that the function is linear. Thus, we can just find the intercepts and connect them with a straight line.

In this case, the intercepts are: (−2,0) and (0,−4).

Explanation:

So, the best way to graph this relation is to find the intercepts and connect them with a straight line.

I know this is a linear equation because the highest degree is 1. The variables are not in the reciprocal format as well.

Anyways, let's first make an equation for the variables.

We'll start with x first.

y+4=−2x

y+4−2=x

Now let's find the x-intercept by subbing in y=0.

y+4−2=x

0+4−2=x

4−2=x

−2=x

Thus, the x-intercept is (−2,0).

Now let's make an equation for the y.

y+4=−2x

y=−2x−4

Now let's find the y-intercept by subbing in x=0.

y=−2x−4

y=−2(0)−4

y=−4

Thus, the y-intercept is (0,−4).

All we have to do is connect them with a straight line and we have our graph.

graph{y+4=-2x [-10, 10, -5, 5]}

Hope this helps :)

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