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91Ó°ÊÓ

Graph the line that satisfies each set of conditions.

Passes through origin parallel to graph of x+y=10.

Short Answer

Expert verified

The graph of the required line is:

Step by step solution

01

Step 1- Given information

A point origin (0,0)and an equation x+y=10.

02

Step 2- Calculation

From given information,

A point (0,0)and x+y=10

Here, x-intercept is:

x+0=10⇒x=10

y- intercept is:

0+y=10⇒y=10

Therefore, the line goes to 10 units below and 10 units right then.

So, the slope of the line is-1010=-1

We get a new point 10,-10.

Now we draw the line which is contained both the points origin (0,0) and 10,-10.

03

Step 3- Graph of the line

The graph of the required line is:

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