Chapter 4: Q. 389 (page 537)

In the following exercises, find the equation of a line with a given slope and $y$ -intercept. Write the equation in slope-intercept form.
$389 .$ Slope $8$ and $y$ -intercept $(0, - 6)$ .

Short Answer

Expert verified

The equation of the line with the given slope 8 and $y$ -intercept $(0, - 6)$ is $y = 8 x - 6$ .

Step by step solution

Step 1. Given data

We have to find the equation of the line.

For that we have,

Slope $(m) = 8$

$y$ -intercept $= (0, - 6)$

Step 2. Equation of the line

We have the point-slope formula $y - y_{1} = m (x - x_{1})$

Where $m$ is the slope and $(x_{1}, y_{1})$ is a point through which the line passes.

Here,

$m = 8 (x_{1}, y_{1}) = (0, - 6)$

Let us substitute these in the point-slope formula,

That is,

role="math" localid="1647284670277" $\begin{aligned} (y - y_{1}) = m (x - x_{1}) \\ y - (- 6) = 8 (x - 0) \\ y + 6 = 8 x \\ y = 8 x - 6 \end{aligned}$

Hence $y = 8 x - 6$ is the equation of the line with slope $8$ and $y$ -intercept $(0, - 6)$ .

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In the following exercises, find the equation of a line with a given slope and $y$ -intercept. Write the equation in slope-intercept form.
$389 .$ Slope $8$ and $y$ -intercept $(0, - 6)$ .

Short Answer

Step by step solution

Step 1. Given data

Step 2. Equation of the line

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In the following exercises, find the equation of a line with a given slope and y-intercept. Write the equation in slope-intercept form.389.Slope 8and y-intercept (0,-6).

Short Answer

Step by step solution

Step 1. Given data

Step 2. Equation of the line

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Pure Maths

Geometry

Theoretical and Mathematical Physics

Decision Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the following exercises, find the equation of a line with a given slope and $y$ -intercept. Write the equation in slope-intercept form.
$389 .$ Slope $8$ and $y$ -intercept $(0, - 6)$ .