The point P has coordinates (3, 4) The point Q has coordinates (a, b) A line perpendicular to PQ is given by the equation 3x + 2y = 7 Find an expression for b in terms of a

y = -3/2x + 7/2gradient = -3/2
gradient of perpendicular = 2/3
y = 2/3x + c
sub in given values of x and y to find c
y = 2/3x + 2
sub in a and b, so:
b = 2/3a + 2

UA
Answered by Usamah A. Maths tutor

6401 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

In a village the number of houses and the number of flats are in the ratio 7 : 4 the number of flats and the number of bungalows are in the ratio 8 : 5 There are 50 bungalows in the village. How many houses are there in the village?


Write x² + 4x -16 = 0 in the form (x+a)² - b = 0. Solve the equation giving your answer in surd form as simply as possible.


How do I solve the equation 5y+18=3y+4?


Solve this pair of simultaneous equations (1) 5x+2y=20 and (2) x+4y=13


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning