Chapter 4: Q. 400 (page 537)

In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope–intercept form.
slope $- 3$ and y-intercept $(0, 0)$ .

Short Answer

Expert verified

The equation of the line is $y = - 3 x$ .

Step by step solution

Step 1. Given information

The slope of the line is $- 3$ .

The Y-intercept of the line is $(0, 0)$ .

We have to find the equation of the line with the given slope and given y-intercept.

Step 2. General equation of the slope-intercept form

The general form of representation of the equation of a line in Slope-intercept form is

$y = m x + b$ .

Here $m$ is the slope of the line and $(0, b)$ is the Y-intercept of the line.

Step 3. Equation of the line

From the given data we have:

$m = - 3 (0, b) = (0, 0) \Rightarrow b = 0$

Substitute the given slope and Y-intercept in the general form equation of a line.

$y = m x + b \Rightarrow y = - 3 x + 0 \Rightarrow y = - 3 x$

Therefore the equation of the line is $y = - 3 x$ .

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In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope–intercept form.
slope $- 3$ and y-intercept $(0, 0)$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. General equation of the slope-intercept form

Step 3. Equation of the line

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In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope–intercept form.slope -3and y-intercept (0,0).

Short Answer

Step by step solution

Step 1. Given information

Step 2. General equation of the slope-intercept form

Step 3. Equation of the line

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Theoretical and Mathematical Physics

Logic and Functions

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope–intercept form.
slope $- 3$ and y-intercept $(0, 0)$ .