Login
Premium
Home Question Bank Math Geometry
Question
upstudy study bank question image url

Determine the equation of each line below using the given point and slope. Use variables \( x \) and \( y \). Simplify your answers. A) Point: \( (4,6) \), Slope: Undefined Equation of the line: B) Point: \( (7,-7) \), Slope: \( m=0 \) Equation of the line: Submit Question

Ask by Bryant Barber. in the United States
Mar 06,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

A) \( x = 4 \) B) \( y = -7 \)

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Beyond the Answer

The equation of a line with an undefined slope is vertical, meaning it goes straight up and down. For the point \( (4,6) \), the equation is simply \( x = 4 \). This means no matter what value \( y \) takes, \( x \) will always be 4! For a line with a slope of zero, it is horizontal, suggesting that it stays flat as \( x \) changes. With the point \( (7,-7) \) and a slope of \( m=0 \), the equation is \( y = -7 \). Hence, regardless of the value of \( x \), \( y \) will always stay at -7!

Related Questions

b. Find the image of a point \( A(3,4) \) after reflection in \( x \)-axis. 5.a. What is the formula of mean deviation from median in discrete series. Group- \( B[8 \times 2=16] \) b. Define transpose matrix of \( A \). 6.a. Define Rectangular matrix with example. b. If \( A=\left[\begin{array}{ll}1 & 3 \\ 2 & 4\end{array}\right] \) and \( B=\left[\begin{array}{ll}3 & 2 \\ 6 & 4\end{array}\right] \) then find \( A B \). 7.a. Find the distance between the points \( A(-2,1) \) and \( B(4,3) \). b. For what value of \( K \) will be the point \( (2,1) \) lie on the curve. \( k x^{2}-2 y^{2}-2 x+3 y-3=0 \) ? 8.a. Find the mid - point of the line joining the points \( (-3,6) \) and \( (1,-2) \) b. Prove that: \( \left(1-\cos ^{2} \theta\right) \). \( \left(1+\cot ^{2} \theta\right)=1 \) 9.a. If \( A(1,3) \) and \( B(6,3) \) are the two end points of \( \overrightarrow{A B} \). Find \( \overrightarrow{A B} \) and hence find \( |\overrightarrow{A B}| \).
Geometry Nepal Mar 16, 2025
23. The angles of a triangle are in ratio \( 2: 3 \) and the third is \( \frac{4 \pi^{c}}{9} \). Find the all angles in degrees.
Geometry Nepal Mar 16, 2025
Vectors Exercise 5.4 1. Let \( \mathbf{u}=(11,16) \) and \( \mathrm{v}=(-8,12) \). Find \( \begin{array}{llll}\begin{array}{ll}\text { a. } \mathbf{5 u} & \text { b. } \mathbf{3}(4 \mathbf{u})\end{array} \quad \text { c. }(5+\mathbf{3}) \mathbf{u} & \text { d. } \mathbf{4}(\mathbf{u}+\mathrm{v}) & \text { e. } 1 \cdot v \quad \mathrm{f} .0 \cdot \mathrm{v}\end{array} \) 2. In the triangle \( \mathrm{ABC}, \overrightarrow{A B} \) represents \( \mathbf{u} \) and \( \overrightarrow{B C} \) represents v . If D is the midpoint of AB , then express \( \overrightarrow{A C}, \overrightarrow{C A} \) and \( \overrightarrow{\mathrm{DC}} \) in terms of \( \mathbf{u} \) and v .
Geometry Ethiopia Mar 16, 2025
(1)) Which sentence is true? A)) All rhombuses have 2 pairs of parallel sides. A)) All rhombuses have 4 right angles. A)) All parallelograms have 4 right angles. All parallelograms have 4 equal sides.
Geometry United States Mar 15, 2025
A geometric problem applicable to primary school children is one that can be a. represented, analyzed, and possibly solved, using the methods of mathematics. b. represented and analyzed using the methods of mathematics. c. analyzed and solved using the methods of mathematics d. solved using the methods of mathematics
Geometry Guyana Mar 16, 2025

Latest Geometry Questions

MUTIPLE-CHOICE QUESTION \[ A=(1 / 2)(b \times h) \] What is the area of a triangle with a base of Eft and a height of 7ft?
Geometry United States Mar 16, 2025
b. Find the image of a point \( A(3,4) \) after reflection in \( x \)-axis. 5.a. What is the formula of mean deviation from median in discrete series. Group- \( B[8 \times 2=16] \) b. Define transpose matrix of \( A \). 6.a. Define Rectangular matrix with example. b. If \( A=\left[\begin{array}{ll}1 & 3 \\ 2 & 4\end{array}\right] \) and \( B=\left[\begin{array}{ll}3 & 2 \\ 6 & 4\end{array}\right] \) then find \( A B \). 7.a. Find the distance between the points \( A(-2,1) \) and \( B(4,3) \). b. For what value of \( K \) will be the point \( (2,1) \) lie on the curve. \( k x^{2}-2 y^{2}-2 x+3 y-3=0 \) ? 8.a. Find the mid - point of the line joining the points \( (-3,6) \) and \( (1,-2) \) b. Prove that: \( \left(1-\cos ^{2} \theta\right) \). \( \left(1+\cot ^{2} \theta\right)=1 \) 9.a. If \( A(1,3) \) and \( B(6,3) \) are the two end points of \( \overrightarrow{A B} \). Find \( \overrightarrow{A B} \) and hence find \( |\overrightarrow{A B}| \).
Geometry Nepal Mar 16, 2025
23. The angles of a triangle are in ratio \( 2: 3 \) and the third is \( \frac{4 \pi^{c}}{9} \). Find the all angles in degrees.
Geometry Nepal Mar 16, 2025
22. Find out the co-ordinates of the points which divides internally the line joining the point \( (2,1) \) and \( (6,7) \) in the ratio( \( 3: 2) \). What will be the co-ordinate if it is divided externally?
Geometry Nepal Mar 16, 2025
Exercise \( 5 \cdot 3 \) \( \begin{array}{l}\text { 1. Find } \quad \text { a. } u+v \\ \text { ifu }=(3,4), \quad \mathbf{v}=(5,-1) \\ \text { ( andw }=(2,-5) . \\ \text { 2. Write any point } A, B, C \text { and } F \text { in your notebook and draw diagrams to illustrate } \\ \text { the following vector equations: } \\ \begin{array}{lll}\text { a. } \overrightarrow{\mathrm{AB}}+\overrightarrow{\mathrm{BC}}=\overrightarrow{\mathrm{AC}} & \text { b. } \overrightarrow{\mathrm{AB}}+\overrightarrow{\mathrm{BC}}+\overrightarrow{\mathrm{CF}}=\overrightarrow{\mathrm{AF}} & \text { c. } \overrightarrow{\mathrm{AB}}-\overrightarrow{\mathrm{BC}}=\overrightarrow{\mathrm{AC}}\end{array} \\ \text { 3. Graphically add the given vectors } \mathbf{u} \text { and } \mathbf{v} \text { shown in Figure } 5.14 \text { by using head to }\end{array} \)
Geometry Ethiopia Mar 16, 2025
Prev Next
Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy