Find the equation of the line that passes through the (4,6) and (9,-4)

First write out the general equation, y = mx + c where m = gradient and c = the Y-interceptFind the gradient m= change in y/change in xM= (-4,-6)/(9-4) = (-10)/(5) = -2Find c by substituting in either of the coordinates into the equation.y= -2x + c6= -2(-4) + c6= -8 + c6 + 8 = c = 14Therefore the equation is y = -2x + 14

BF

Related Maths GCSE answers

All answers ▸

Work out the value of 2a^2 + b^3 when a = 5 and b = –3


Write 3a - a x 4a + 2a in its simplest form.


3 teas and 2 coffees have a total cost of £7.80. 5 teas and 4 coffees have a total cost of £14.20. Work out the cost of one tea and the cost of one coffee.


Ian's commute to work is 5km. He needs to be there by 9.00am. He travels at 10 km/h, what time does he need to leave home?