Chapter 4: Q. 417 (page 539)

Find the equation of a line with given slope and containing the given point. Write the equation in slope–intercept form.
$m = - \frac{1}{3} and point (- 9, - 8)$

Short Answer

Expert verified

Equation of the line is $y = - \frac{1}{3} x - 11$ .

Step by step solution

Step 1. Given information

We have been given:

$m = - \frac{1}{3} and point (- 9, - 8)$

We have to write the equation in slope–intercept form.

Step 2. Use the equation of the point-slope form of the line

The point-slope formula is $y - y_{1} = m (x - x_{1})$ .

$y - (- 8) = - \frac{1}{3} (x - (- 9)) y + 8 = - \frac{1}{3} (x + 9)$

Step 3. Write in slope-intercept form y=mx+b.

$y + 8 = - \frac{1}{3} (x + 9) 3 (y + 8) = - 1 (x + 9) 3 y + 24 = - x - 9 3 y = - x - 33 y = - \frac{1}{3} x - 11$

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Find the equation of a line with given slope and containing the given point. Write the equation in slope–intercept form.
$m = - \frac{1}{3} and point (- 9, - 8)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Use the equation of the point-slope form of the line

Step 3. Write in slope-intercept form y=mx+b.

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Find the equation of a line with given slope and containing the given point. Write the equation in slope–intercept form.m=-13andpoint(-9,-8)

Short Answer

Step by step solution

Step 1. Given information

Step 2. Use the equation of the point-slope form of the line

Step 3. Write in slope-intercept form y=mx+b.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Pure Maths

Decision Maths

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the equation of a line with given slope and containing the given point. Write the equation in slope–intercept form.
$m = - \frac{1}{3} and point (- 9, - 8)$