Chapter 3: Q4A. (page 156)

Graph each equation by using the $x$ - and $y$ -intercepts.
$- x + 2 y = 3$

Short Answer

Expert verified

The graph of the equation $- x + 2 y = 3$ is:

Step by step solution

Step 1. Find the x and y- intercepts of the equation −x+2y=3.

To find the $x$ -intercept, substitute 0 for $y$ and find the value of $x$ .

role="math" localid="1647329138275" $- x + 2 y = 3 - x + 2 (0) = 3 - x + 0 = 3 - x = 3 x = - 3$

Therefore, the $x$ -intercept is $- 3$ .

As, the $x$ -intercept is $- 3$ that means the graph of $- x + 2 y = 3$ will intersect the $x$ -axis at $(- 3, 0)$ .

To find the $y$ -intercept, substitute 0 for $x$ and find the value of $y$ .

role="math" localid="1647329287395" $\begin{matrix} - x + 2 y = 3 \\ - 0 + 2 y = 3 \\ 2 y = 3 \\ y = \frac{3}{2} \end{matrix}$

Therefore, the $y$ -intercept is $\frac{3}{2}$ .

As, the $y$ -intercept is $\frac{3}{2}$ that means the graph of $- x + 2 y = 3$ will intersect the $y$ -axis at $(0, \frac{3}{2})$ .

Step 2. Draw the graph of the equation −x+2y=3.

Draw the graph of $- x + 2 y = 3$ the equation by using the information that the graph of the equation $- x + 2 y = 3$ is a line passing through the points $(- 3, 0)$ and $(0, \frac{3}{2})$ .

Therefore, the graph of the equation $- x + 2 y = 3$ is:

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Graph each equation by using the $x$ - and $y$ -intercepts.
$- x + 2 y = 3$

Short Answer

Step by step solution

Step 1. Find the x and y- intercepts of the equation −x+2y=3.

Step 2. Draw the graph of the equation −x+2y=3.

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Graph each equation by using the x- and y-intercepts.−x+2y=3

Short Answer

Step by step solution

Step 1. Find the x and y- intercepts of the equation −x+2y=3.

Step 2. Draw the graph of the equation −x+2y=3.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Calculus

Discrete Mathematics

Pure Maths

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Graph each equation by using the $x$ - and $y$ -intercepts.
$- x + 2 y = 3$