Chapter 3: Q. 111 (page 276)

Graph the line of equation $3 x + y = 5$ using its slope and y-intercept.

Short Answer

Expert verified

The slope of equation $3 x + y = 5$ is $- 3$ and the y-intercept is $(0, 5)$ and the graph is plotted below:

Step by step solution

Step 1. Given information

The equation of line is $3 x + y = 5$ .

Step 2. Identify the slope of equation

The slope intercept form of an equation is $y = m x + b$ where $m$ is the slope and $(0, b)$ is the y-intercept.

The given equation $3 x + y = 5$ is converted into slope intercept form as:

$3 x + y = 5 y = - 3 x + 5; (y = m x + b)$

Hence the slope of equation is $- 3$ .

Step 3. Identify the y-intercept

The y-intercept of equation $y = - 3 x + 5$ is $(0, 5)$ .

Step 4. Graph the line of equation 3x+y=5.

The graph of equation is plotted using slope $- 3$ and y-intercept $(0, 5)$ as shown below:

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Graph the line of equation $3 x + y = 5$ using its slope and y-intercept.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify the slope of equation

Step 3. Identify the y-intercept

Step 4. Graph the line of equation 3x+y=5.

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Graph the line of equation 3x+y=5using its slope and y-intercept.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify the slope of equation

Step 3. Identify the y-intercept

Step 4. Graph the line of equation 3x+y=5.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Logic and Functions

Mechanics Maths

Pure Maths

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Graph the line of equation $3 x + y = 5$ using its slope and y-intercept.