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Chapter 4: Q. 597 (page 567)

In the following exercises, graph using the intercepts.

y=2x

Short Answer

Expert verified

The graph is as follows,

Step by step solution

01

Step 1. Given Information 

We are given an equation,

y=2x

We have to draw the graph using the intercepts.

02

Step 2. Finding the x-intercept

The x-intercept is a point on the graph where y is zero and the graphcrosses the x-axis.

Similarly the y intercept is a point on the graph where x is zero and the graph crosses the y-axis.

So, putting x=0, we get

y=2xy=2(0)y=0

03

Step 2. Finding the y-intercept

Now, putting y=0, we get

y=2x0=2xx=0

Hence, both xandyintercept are 0,0.

One other solution is given by putting x=1,

role="math" localid="1647660190360" y=2xy=2(1)y=2

04

Step 4. Graphing the equation

The graph is as follows,

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