Chapter 4: Q. 470 (page 540)

Find an Equation of a Line Perpendicular to a Given Line
$y = - 2 x + 3, (2, 2)$

Short Answer

Expert verified

The Equation of perpendicular line is $y = \frac{1}{2} x + 1$

Step by step solution

Step 1. Given information

The given Equation is $y = - 2 x + 3$

Step 2. Find the slope of the perpendicular line

hence the slope of the given line is $- 2$

The slope of perpendicular line is $\frac{1}{2}$

Step 3. Find the y-Intercept

The line passes through the point (2, 2)

we get,

$2 = \frac{1}{2} x + c 2 = 1 + c c = 1$

Hence the equation of Perpendicular line is

Step 4. The Solution is

The Equation of the line is $y = \frac{1}{2} x + 1$

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Find an Equation of a Line Perpendicular to a Given Line
$y = - 2 x + 3, (2, 2)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the slope of the perpendicular line

Step 3. Find the y-Intercept

Step 4. The Solution is

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Find an Equation of a Line Perpendicular to a Given Liney=-2x+3,(2,2)

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the slope of the perpendicular line

Step 3. Find the y-Intercept

Step 4. The Solution is

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Decision Maths

Applied Mathematics

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Pure Maths

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Study anywhere. Anytime. Across all devices.

Find an Equation of a Line Perpendicular to a Given Line
$y = - 2 x + 3, (2, 2)$