Chapter 5: Q. 5 (page 352)

Graph the line $2 x - 4 y = 16$

Short Answer

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Graph of line $2 x - 4 y = 16$ is

Step by step solution

Step 1. Given information:

Given equation of line: $2 x - 4 y = 16$

We want to graph the given line.

Step 2. Solution:

We will drive line $2 x - 4 y = 16$ by switching it to the form $y = m x + b$ , where m represents slope.

$2 x - 4 y = 16 - 4 y = - 2 x + 16 y = \frac{1}{2} x - 4$

Due to - 4 in the line $y = \frac{1}{2} x - 4$ we conclude that the line intersect the y-axis at -4 (i.e. passes through the point A(0, - 4) ).

The line in the plane is determine by two points. Therefore, to draw a line we need another point. Take for example x = 2 (it is easier to take any number that is a multiple of the number 2 due to $\frac{1}{2}$ in front of x):

$y = 0 \frac{1}{2} x - 4 = 0 \frac{1}{2} x = 4 x = 8 I \Rightarrow (8, 0)$

Let's draw points A(0,-4) and B(2,-3) on the graph and then draw a line through these two points:

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Graph the line $2 x - 4 y = 16$

Short Answer

Step by step solution

Step 1. Given information:

Step 2. Solution:

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Graph the line2x-4y=16

Short Answer

Step by step solution

Step 1. Given information:

Step 2. Solution:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Probability and Statistics

Discrete Mathematics

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Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

Graph the line $2 x - 4 y = 16$