Chapter 4: Q. 420 (page 539)

Find the equation of a line with given slope and containing the given point. Write the equation in slope–intercept form.
$Horizontal line containing (- 2, - 3)$

Short Answer

Expert verified

Equation of the line is $y = - 3$ .

Step by step solution

Step 1. Given information

We have been given:

$Horizontal line containing (- 2, - 3)$

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

$y - (- 3) = 0 (x - (- 2))$ Slope of a horizontal line is zero.

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

$y - (- 3) = 0 (x - (- 2)) y + 3 = 0 y = - 3$

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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.
$Horizontal line containing (- 2, - 3)$

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.Horizontallinecontaining(-2,-3)

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

Calculus

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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.
$Horizontal line containing (- 2, - 3)$