To determine The equation of a line perpendicular to the line y = 1 2 x + 4 and having the point ( 1 , − 2 ) . Explanation Definition used: The non-vertical lines are said to be perpendicular if and only if the product of their slope is −1. That is, m 1 ⋅ m 2 = − 1 m 2 = − 1 m 1 Here m 1 and m 2 are the slopes of the line perpendicular to each other. Theorem used: “ Slope-intercept form of an equation of a line. An equation of a line with slope m and y -intercept b is y = m x + b .” “ The point slope form of an equation of a line. An equation of a non-vertical line with slope m that contains the point ( x 1 , y 1 ) is y − y 1 = m ( x − x 1 ) .” Calculation: The slope is computed as follows. Compare the given equation of the line y = 1 2 x + 4 with the slope intercept form. y = m ↓ x + b y = 1 2 x + 4 Thus, the slope of the given line is m 1 = 1 2

College Algebra: Concepts Through Functions (4th Edition)

4th Edition

ISBN: 9780134686967

Author: Michael Sullivan, Michael Sullivan III

Publisher: PEARSON

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 F.3, Problem 67AYU

To determine

The equation of a line perpendicular to the line y=12x+4 and having the point (1,−2).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter F.3, Problem 66AYU

Chapter F.3, Problem 68AYU

Students have asked these similar questions

• Plane II is spanned by the vectors: P12 P2 = 1 • Subspace W is spanned by the vectors: W₁ = -- () · 2 1 W2 = 0

Three streams - Stream A, Stream B, and Stream C - flow into a lake. The flow rates of these streams are not yet known and thus to be found. The combined water inflow from the streams is 300 m³/h. The rate of Stream A is three times the combined rates of Stream B and Stream C. The rate of Stream B is 50 m³/h less than half of the difference between the rates of Stream A and Stream C. Find the flow rates of the three streams by setting up an equation system Ax = b and solving it for x. Provide the values of A and b. Assuming that you get to an upper-triangular matrix U using an elimination matrix E such that U = E A, provide also the components of E.

dent Application X GA spinner is divided into five cox | + 9/26583471/4081d162951bfdf39e254aa2151384b7 A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below: Spinner Results Color Frequency Red 5 Blue 11 Green 18 Yellow 5 Purple 7 Based on these results, express the probability that the next spin will land on purple as a fraction in simplest form. Answer Attempt 1 out of 2 Submit Answer 0 Feb 12 10:11 O

Chapter F Solutions

College Algebra: Concepts Through Functions (4th Edition)

Ch. F.1 - Prob. 1AYU Ch. F.1 - If −3 and 5 are the coordinates of two points on...Ch. F.1 - If 3 and 4 are the legs of a right triangle, the...Ch. F.1 - Use the converse of the Pythagorean Theorem to...Ch. F.1 - The area A of a triangle whose base is b and whose...Ch. F.1 - True or False Two triangles are congruent if two...Ch. F.1 - Prob. 7AYU Ch. F.1 - The coordinate axes divide the xy-plane into four...Ch. F.1 - If three distinct points P, Q, and R all lie on a...Ch. F.1 - True or False The distance between two points is...

Knowledge Booster

$Algebra$

Learn more about

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