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Chapter 3: Q. 413 (page 354)

In the following exercises, graph using the intercepts.

-x+3y=12

Short Answer

Expert verified

The Graph is shown below:

Step by step solution

01

Step 1. Given Information

The equation of a line for which the graph is drawn is

-x+3y=3

02

Step 2. Concept

The X- and Y- intercept of a line is the x and y coordinates, respectively, of the points where the line intersects the x-axis and y-axis respectively. Joining these intercept graphs the equation of the line.

03

Step 3. Calculation

For x- intercept

Put y=0in the given equation, we get

-x+0=3x=-3

For y- intercept

Put x=0in the given equation, we get

0+3y=3y=1

04

Step 4. Graph of equation

As the x- and y- intercept is-3 and 1respectively.
The line will be joining (-3, 0) and (0, 1).

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