Chapter 4: Q. 677 (page 574)

Graph the linear inequality $y \leq - \frac{1}{4} x + 3$

Short Answer

Expert verified

Graph of given linear inequality $y \leq - \frac{1}{4} x + 3$

Step by step solution

Step 1. Given Information

The given linear inequality is $y \leq - \frac{1}{4} x + 3$

Step 2. Identify and graph the boundary line

In this the inequality is $\leq$ ,so the boundary line is solid line

Replace the inequality with an equal sign

$y = - \frac{1}{4} x + 3$

Graph the boundary line

Step 3. Test apoint that is not on boundary line

Test

(0, 0)

y \leq - \frac{1}{4} x + 3 0 \leq - \frac{1}{4} (0) + 3 0 \leq 3

True

$(0, 0)$ is a solution

Step 4. Draw the graph

The graph of linear inequality $y \leq - \frac{1}{4} x + 3$

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Graph the linear inequality $y \leq - \frac{1}{4} x + 3$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Identify and graph the boundary line

Step 3. Test apoint that is not on boundary line

Step 4. Draw the graph

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Graph the linear inequalityy≤-14x+3

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Identify and graph the boundary line

Step 3. Test apoint that is not on boundary line

Step 4. Draw the graph

One App. One Place for Learning.

Most popular questions from this chapter

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Graph the linear inequality $y \leq - \frac{1}{4} x + 3$