Chapter 4: Q. 471 (page 540)

Find an Equation of a Line Perpendicular to a Given Line
$y = - x + 5, p o i n t (3, 3)$

Short Answer

Expert verified

The equation of the given line perpendicular is $y = x$

Step by step solution

Step 1. Given Information

Given Equation is $y = - x + 5$

Step 2. Find the slope of perpendiclular line

Hence Slope of The given line is $- 1$

The slope of the perpendicular line is localid="1655992031865" $1$

Find the y-intercept

The line passes through the point $(3, 3)$

we get,

$y = x + c 3 = 3 + c c = 0$

Hence the equation of the required line is localid="1655992110642" $y = x$

Step 4. The solution

The equation of the required perpendicular line is $y = x .$

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Find an Equation of a Line Perpendicular to a Given Line
$y = - x + 5, p o i n t (3, 3)$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find the slope of perpendiclular line

Find the y-intercept

Step 4. The solution

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Find an Equation of a Line Perpendicular to a Given Liney=-x+5,point(3,3)

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find the slope of perpendiclular line

Find the y-intercept

Step 4. The solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Theoretical and Mathematical Physics

Mechanics Maths

Probability and Statistics

Logic and Functions

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Find an Equation of a Line Perpendicular to a Given Line
$y = - x + 5, p o i n t (3, 3)$