Chapter 3: Q72. (page 253)

Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation $y = \frac{2}{3} x - 2$ ? Why ?

Short Answer

Expert verified

We prefer using the method of plotting point to graph the equation $y = \frac{2}{3} x - 2$ , because $y = \frac{2}{3} x - 2$ is an explicit equation and it is easy to find points for explicit equations.

Step by step solution

Step 1. Given information

The equation of a line is

$y = \frac{2}{3} x - 2$

Step 2. Identify the type of equation

The equation is

$y = \frac{2}{3} x - 2$

Since this $y$ value is defined directly using $x$ .

So, this is an explicit equation.

Step 3. Decide methods

Since this is an explicit equation.

So, if we could plug different values of $x$ , then we will be able to find $y$ values easily.

And points are role="math" localid="1644686050205" $(x, y)$ coordinates.

Therefore, the method of plotting points is preferred to sketch the graph.

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Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation $y = \frac{2}{3} x - 2$ ? Why ?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify the type of equation

Step 3. Decide methods

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Step by step solution

Step 1. Given information

Step 2. Identify the type of equation

Step 3. Decide methods

One App. One Place for Learning.

Most popular questions from this chapter

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Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation $y = \frac{2}{3} x - 2$ ? Why ?