Chapter 4: Q. 333 (page 521)

In the following exercises, determine the most convenient method to graph each line.
$2 x - 5 y = - 10$

Short Answer

Expert verified

The easiest way to graph the given equation by finding the intercepts and one more point.

The graph is shown below:

Step by step solution

Given information

The given equation is $2 x - 5 y = - 10$ .

Determine the intercept

This equation is of the form $A x + B y = C$ . The easiest way to graph it will be to find the intercepts and one more point.

For $x$ -intercept, substitute $0$ for $y$ and then solve for $x$ .

$\begin{array}{rcl} 2 x - 5 (0) & = & - 10 \\ 2 x & = & - 10 \\ x & = & - 5 \end{array}$

For $y$ -intercept, substitute $0$ for $x$ and then solve for $y$ .

$\begin{array}{rcl} 2 (0) - 5 y & = & - 10 \\ - 5 y & = & - 10 \\ y & = & 2 \end{array}$

Substitute $1$ for $x$ in the given equation.

$\begin{array}{rcl} 2 (1) - 5 y & = & - 10 \\ - 5 y & = & - 10 - 2 \\ y & = & \frac{12}{5} \\ y & = & 2.4 \end{array}$

Graph the equation.

The graph of the given equation is shown below:

Write the conclusion

The graph is shown below along with intercept and one more point.

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In the following exercises, determine the most convenient method to graph each line.
$2 x - 5 y = - 10$

Short Answer

Step by step solution

Given information

Determine the intercept

Graph the equation.

Write the conclusion

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In the following exercises, determine the most convenient method to graph each line.2x-5y=-10

Short Answer

Step by step solution

Given information

Determine the intercept

Graph the equation.

Write the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Statistics

Probability and Statistics

Decision Maths

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

In the following exercises, determine the most convenient method to graph each line.
$2 x - 5 y = - 10$