Line AB has equation 6x + y - 4 = 1. AB is perpendicular to the line y = mx + 1, find m.

First, we have to know that if 2 lines are perpendicular, the product of their gradients is -1.

Next, we have to express the 2 equations in similar ways by rearranging them and making y the common subject.

The line AB has equation y = -6x + 5, and the second is just y = mx + 1.

From here, since both lines are of the form y = mx + c, where m is the gradient and c is the intercept, we can see that the gradient of the first line is -6, and the second line is m. 

Since the product of these 2 gradients is -1, we know that

-6 x m = -1

Therefore m = 1/6

JR
Answered by Jack R. Maths tutor

3310 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How can I remember trig identities?


Find the inverse of the function g(x)=(4+3x)/(5-x)


A curve has the equation, 6x^2 +3xy−y^2 +6=0 and passes through the point A (-5, 10). Find the equation of the normal to the curve at A.


Given that y = 16x + x^-1, find the two values of x for which dy/dx = 0


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences