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

3004 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve these simultaneous equations. 2x + y = 10 and 3x + 4y = 25.


v^2 = 2w - x^2. w = 40; x = 4. Find the value of v.


There are 30 balls in the bag, 10 of which are blue. Adam takes 2 balls out of the bag without a replacement and calculated that there is a probability of 0.2 of both balls being blue. What percentage error did he make compared to the true probability?


How to expand brackets?


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