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

1 year ago

Answered by Flavian, a GCSE Maths tutor with MyTutor

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


£18 /hr

Grace C.

Degree: Physics with a Year Abroad (Masters) - Edinburgh University

Subjects offered: Maths, -Personal Statements-

-Personal Statements-

“I am a physics student at The University of Edinburgh and ever since reading National Geographic Kids magazines, I've been in love with our world ad how it works. I've learned that mathematics is really at the heart of everything and I...”

£18 /hr

Callum O.

Degree: Computer Science (Masters) - Warwick University

Subjects offered: Maths, Physics+ 2 more

Further Mathematics

“With a strong passion for Mathematics and the Sciences, I never turn down oppurtunities to share these passions with keen individuals. Having had extensive tuition experience working in one-to-one tuition centres, I have been able to d...”

MyTutor guarantee

£20 /hr

Matthew B.

Degree: Mathematics (Masters) - Warwick University

Subjects offered: Maths, Science+ 2 more

Further Mathematics

“About me: Hello! My name is Matt and I'm a 3rd year Maths student at the University of Warwick. I achieved all A*s at GCSE and 4 A*s at A-Level in Maths, Further Maths, Physics, and Chemistry. I am offering tutoring forA-Level Maths, ...”

About the author

£18 /hr

Flavian M.

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

Subjects offered: 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

How do I solve a quadratic equation by completing the square?

Solve the simultaneous equation: 3x+2y=8, 2x+5y=-2?

A circle with centre C has equation x^2 + y^2 + 2x - 6y - 40 = 0. Express as (x - a)^2 + (y - b)^2 = d.

Simplify 5(x-1)^2/25(x^2-1)

View GCSE Maths tutors


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