Chapter 4: Q. 419 (page 539)

Find the equation of a line with given slope and containing the given point. Write the equation in slope–intercept form.
$Horizontal line containing (- 1, 4)$

Short Answer

Expert verified

Equation of the line is $y = 4$ .

Step by step solution

Step 1. Given information

We have been given:

$Horizontal line containing (- 1, 4)$

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

$y - 4 = 0 (x - (- 1))$ Slope of a horizontal line is zero.

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

$y - 4 = 0 (x - (- 1)) y - 4 = 0 y = 4$

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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.
$Horizontal line containing (- 1, 4)$

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(-1,4)

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

Pure Maths

Probability and Statistics

Decision Maths

Theoretical and Mathematical Physics

Geometry

Discrete Mathematics

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.
$Horizontal line containing (- 1, 4)$