Chapter 4: Q. 416 (page 539)

Find the equation of a line with given slope and containing the given point. Write the equation in slope–intercept form.
$m = - \frac{1}{4} and point (- 12, - 6)$

Short Answer

Expert verified

Equation of the line is $y = - \frac{1}{4} x - 9$ .

Step by step solution

Step 1. Given information

We have been given:

$m = - \frac{1}{4} and point (- 12, - 6)$

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 $y - y_{1} = m (x - x_{1})$ .

$y - (- 6) = - \frac{1}{4} (x - - (12)) y + 6 = - \frac{1}{4} (x + 12)$

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

$y + 6 = - \frac{1}{4} (x + 12) 4 (y + 6) = - 1 (x + 12) 4 y + 24 = - x - 12 4 y = - x - 36 y = - \frac{1}{4} x - 9$

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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.
$m = - \frac{1}{4} and point (- 12, - 6)$

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=-14andpoint(-12,-6)

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

Mechanics Maths

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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.
$m = - \frac{1}{4} and point (- 12, - 6)$