On a graph, the lines with the equations y=x^2+5x+4 and y=-3x-8 meet at two distinct points. Find the coordinates of these meeting points.

y=x^2+5x+4 y=-3x-8 Equate the two equations: x^2+5x+4 = -3x-8Rearrange so that all values are on one side: x^2+8x+12=0 Factorise the equation by finding two values that multiply to give 12 and add together to give 8: (x+6)(x+2)=0 The x coordinate for the meeting points will be given by the values of x that make each respective set of brackets equal to zero: Therefore x= -6 and x= -2 To find the y coordinate substitute your x values back into one of the equations: y= -3(-6) -8 =10 y= -3(-2) -8 = -2 Therefore the coordinates are (-6,10) and (-2,-2)

KH
Answered by Keir H. Maths tutor

3042 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Steve wants to put a hedge along one side of his garden. He needs to buy 27 plants for the hedge. Each plant costs £5.54 Steve has £150 to spend on plants for the hedge. Does Steve have enough money to buy all the plants he needs?


The recommended price of a ladder is £75. The ladder is sold in 2 shops, one with a 30% discount the other with a discount of 2/9. How much is the discount in the two shops and which is cheaper and by how much? Non-calculator


Solve 3x^2+7x-13=7 to find x.


(x(x+1))/2 = 3 Solve For x.


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