Chapter 3: Q.3.18 (page 246)

Graph using the intercepts:
$- x + 3 y = 6$

Short Answer

Expert verified

The graph of the equation is

Step by step solution

Step 1. Given Information

Given equation is $- x + 3 y = 6$

The graph of the equation is to be determined using the intercepts.

Step 2. Find the x-intercept

To determine the x-intercept, plugging $y = 0$ in the equation and solving for x:

$- x + 3 y = 6 - x + 3 (0) = 6 - x + 0 = 6 - x = 6 x = - 6$

So the x-intercept is $(- 6, 0)$

Step 3. Find the y-intercept

To determine the y-intercept, plugging $x = 0$ in the equation and solving for y:

$- x + 3 y = 6 - 0 + 3 y = 6 3 y = 6 \frac{3 y}{3} = \frac{6}{3} y = 2$

So the y-intercept is $(0, 2)$

Step 4. Plotting the intercepts

Plotting the intercepts on the coordinate plane and joining them using a line:

Step 5. Conclusion

The graph of the equation using the intercepts is

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Graph using the intercepts:
$- x + 3 y = 6$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find the x-intercept

Step 3. Find the y-intercept

Step 4. Plotting the intercepts

Step 5. Conclusion

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Graph using the intercepts:-x+3y=6

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find the x-intercept

Step 3. Find the y-intercept

Step 4. Plotting the intercepts

Step 5. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Geometry

Theoretical and Mathematical Physics

Mechanics Maths

Applied Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Graph using the intercepts:
$- x + 3 y = 6$