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
Related Maths GCSE answers
All answers ▸John wants to invest £100 into a savings account for 15 years. If he invests in saving account A he will receive 3.5% simple interest and if he invests in savings account B he will receive 3% compound interest. Which account should he choose and why?
2 5/3 + 2 8/9
2476 adults watch a cricket match. The ratio men : women is 3 : 1 How many more men than women watch the match?
Show that 12 cos 30° - 2 tan 60° can be written in the form root (k) where k is an integer.