Question
upstudy study bank question image url

The graph below shows point P and line A . If line B is drawn such that it passes through point P and is parallel to line A , what is the equation of line Give your answer in the form \( y=m x+c \), where \( m \) and \( c \) are integers or fractions in their simplest forms.

Ask by Pearson Bryant. in the United Kingdom
Nov 30,2024

Real Tutor Solution

Tutor-Verified Answer

Answer

To find the equation of line B, use the slope of line A and the coordinates of point P. The equation is in the form \( y = mx + c \), where \( m \) is the slope and \( c \) is the y-intercept calculated using \( x_P \) and \( y_P \).

Solution

Sign in to Unlock Answers for Free!

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

star-icon Unlock

Reviewed and approved by the UpStudy tutoring team

Mind Expander

To find the equation of line B, which is parallel to line A and passes through point P, you need the slope of line A. Since parallel lines share the same slope, you can take the slope (m) of line A and apply it to line B. Then, using the coordinates of point P (let's say P has coordinates (x₁, y₁)), you can plug these values into the point-slope form of a line: \( y - y₁ = m(x - x₁) \). Rearranging this will give you \( y = mx + (y₁ - mx₁) \), where you can isolate c to find it. If line A has an equation like \( y = 2x + 3 \), then line B will also have a slope (m) of 2. If point P is (1, 4), you substitute to find \( y - 4 = 2(x - 1) \), simplifying to \( y = 2x + 2 \). Thus, the equation for line B will be \( y = 2x + 2 \).

Related Questions

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