Answers>Maths>GCSE>Article

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

Answered by Usamah A. • Maths tutor

6580 Views

See similar Maths GCSE tutors

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

Related Maths GCSE answers

3x+18=14x+2

Solve the simultaneous equations: 2x+2y=12 x-y=8 You must show your working

Convert 60km/h to m/s

A shopkeeper compares the income from sales of a laptop in March and in April. The price in April was 1/5 more than in March. The number sold in April was 1/4 less than in March. By what fraction does income decrease from March to April?