Chapter 3: Q. 413 (page 354)

In the following exercises, graph using the intercepts.
$- x + 3 y = 12$

Short Answer

Expert verified

The Graph is shown below:

Step by step solution

Step 1. Given Information

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

$- x + 3 y = 3$

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.

Step 3. Calculation

For x- intercept

Put $y = 0$ in the given equation, we get

$\begin{array}{rcl} - x + 0 & = & 3 \\ x & = & - 3 \end{array}$

For y- intercept

Put $x = 0$ in the given equation, we get

$\begin{array}{rcl} 0 + 3 y & = & 3 \\ y & = & 1 \end{array}$

Step 4. Graph of equation

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

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In the following exercises, graph using the intercepts.
$- x + 3 y = 12$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Concept

Step 3. Calculation

Step 4. Graph of equation

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In the following exercises, graph using the intercepts.-x+3y=12

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Concept

Step 3. Calculation

Step 4. Graph of equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Theoretical and Mathematical Physics

Pure Maths

Calculus

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

In the following exercises, graph using the intercepts.
$- x + 3 y = 12$