MYTUTOR SUBJECT ANSWERS

341 views

Find the equation of the straight line which passes through the point (0, 3) and is perpendicular to the straight line with equation y = 2x.

We know that a straight line has a general formula: y = mx+c, where m is the gradient of the line and c is the y-intercept; so, we are looking to find m and c. 

The line passes through the point (0,3) so x=0 and y = 3; thus, we substitute

3 = m * 0 + c; 

c = 3;

so, y = mx+3;

If y = mx+3 and y = 2x are perpendicuar, we know that the gradients of the 2 lines are negative reciprocals to each other and we can write m as:

m = -1/2;

Hence, y = -1/2x+3

Flavian M. A Level Maths tutor, GCSE Maths tutor

12 months ago

Answered by Flavian, a GCSE Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist

331 SUBJECT SPECIALISTS

£18 /hr

Natasha P.

Degree: Medicine (Bachelors) - Leeds University

Subjects offered: Maths, Science+ 6 more

Maths
Science
Physics
Human Biology
Chemistry
-Personal Statements-
-Medical School Preparation-

“I am an enthusiastic and friendly student in my fourth year of Medicine at the University of Leeds. Coming from a family background of teaching, I am passionate about educating children and young adults! I've got plenty of experience ...”

MyTutor guarantee

£18 /hr

Jake T.

Degree: Classics (Bachelors) - St. Andrews Unversity University

Subjects offered: Maths, Latin+ 1 more

Maths
Latin
Classical Greek

“I am a Classics student at St Andrews University. I am deeply interested in language and enjoy thoroughly explaining the 'ins and outs' of Latin and Ancient Greek. These are undeniably complex languages, so it is easy to feel overwhel...”

£18 /hr

Philip D.

Degree: Mathematics (Bachelors) - Exeter University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“Hey, I'm Phil, a mathematics student at the University of Exeter. Unsurprisingly maths has always been a subject that has fascinated me given its intrinsic and logical nature, and I hope that I can help develop your understanding of t...”

About the author

£18 /hr

Flavian M.

Degree: Biomedical Engineering (Bachelors) - Imperial College London University

Subjects offered: Maths

Maths

“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

MyTutor guarantee

You may also like...

Other GCSE Maths questions

Prove that (2n+3)^2-(2n-3)^2 is a multiple of 8 for positive integer values of n

Factorise and solve x^2 - 8x + 15 = 0.

What is the range of solutions for the inequality 2(3x+1) > 3-4x?

expand the brackets (x+5)(x+3) furthermore what are the two values of x

View GCSE Maths tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok