Chapter 3: Q. 51 (page 252)

Graph the equation $3 x - y = - 6$ using the intercepts.

Short Answer

Expert verified

The graph of the given equation is

Step by step solution

Given information

The equation is given as $3 x - y = - 6$ for the graph.

Find the intercepts

Apply the definition of the intercepts to find the intercepts of the given equation.

The intercepts of the given equation are the points where the corresponding variables become zero.
Hence substitute the associated variables zero into the given equation to find the required intercepts.

$\begin{array}{rcl} 3 x - y & = & - 6 \\ 3 x - 0 & = & - 6 \\ 3 x & = & - 6 \\ x & = & \frac{- 6}{3} \\ x & = & - 2 \\ 3 x - y & = & - 6 \\ 3 (0) - y & = & - 6 \\ - y & = & - 6 \\ y & = & 6 \end{array}$

Graph the equation using the intercepts

The graph of the linear equation is a straight line that passes through its intercepts.

As obtained, the intercepts of the given equation are (-2,0) and (0,6).
Hence join the intercepts using a straight line to get the required graph of the equation.

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Graph the equation $3 x - y = - 6$ using the intercepts.

Short Answer

Step by step solution

Given information

Find the intercepts

Graph the equation using the intercepts

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Graph the equation 3x-y=-6using the intercepts.

Short Answer

Step by step solution

Given information

Find the intercepts

Graph the equation using the intercepts

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Geometry

Decision Maths

Probability and Statistics

Pure Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Graph the equation $3 x - y = - 6$ using the intercepts.