Explanation The line through the point P ( a , b ) of slope m = s t for any s and t with t ≠ 0 will be parameterized by: x = a + t u , y = b + s u Given: Point P = ( 2 , 5 ) and line y = 4 x − 3 Formula Used: To find out the slope of the straight line is given by: y = m x + c , where m is the slope Perpendicular lines have slopes that are negative reciprocals that are − 1 m Calculation: First we have to find the slope of the line, so the slope of the line y = 4 x − 3 is m = 4 Now, the slope of a perpendicular line is − 1 4 Now, m = s t s = − 1

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

See similar textbooks

Concept explainers

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.

Videos

Question

Chapter 12, Problem 2CRE

To determine

We need to determine parametric equations for the line through $P = (2, 5)$ perpendicular to the line $y = 4 x - 3$ .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 12, Problem 1CRE

Chapter 12, Problem 3CRE

Students have asked these similar questions

(10 points) Let f(x, y, z) = ze²²+y². Let E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z ≤ 3}. Calculate the integral f(x, y, z) dv. E

(12 points) Let E={(x, y, z)|x²+ y² + z² ≤ 4, x, y, z > 0}. (a) (4 points) Describe the region E using spherical coordinates, that is, find p, 0, and such that (x, y, z) (psin cos 0, psin sin 0, p cos) € E. (b) (8 points) Calculate the integral E xyz dV using spherical coordinates.

(10 points) Let f(x, y, z) = ze²²+y². Let E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z < 3}. Calculate the integral y, f(x, y, z) dV.

Chapter 12 Solutions

Calculus - Standalone book

Ch. 12.1 - Prob. 1PQ Ch. 12.1 - Prob. 2PQ Ch. 12.1 - Prob. 3PQ Ch. 12.1 - Prob. 4PQ Ch. 12.1 - Prob. 5PQ Ch. 12.1 - Prob. 6PQ Ch. 12.1 - Prob. 7PQ Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

We need to determine parametric equations for the line through P = ( 2 , 5 ) perpendicular to the line y = 4 x − 3 .

Solution Summary: The author explains the parametric equations for the line through P = ( 2, 5 ) perpendicular to y = 4 x 3.

Concept explainers

Videos

We need to determine parametric equations for the line through $P = (2, 5)$ perpendicular to the line $y = 4 x - 3$ .

Want to see the full answer?

Chapter 12 Solutions

We need to determine parametric equations for the line through P = ( 2 , 5 ) perpendicular to the line y = 4 x − 3 .

Solution Summary: The author explains the parametric equations for the line through P = ( 2, 5 ) perpendicular to y = 4 x 3.

Concept explainers

Videos

We need to determine parametric equations for the line through P=(2,5) perpendicular to the line y=4x−3.

Want to see the full answer?

Chapter 12 Solutions

We need to determine parametric equations for the line through $P = (2, 5)$ perpendicular to the line $y = 4 x - 3$ .