You are Here: Home >< A-levels

# Core 1 Further equations watch

1. the straight line L has the equation y=3x-1 and the curve C has equation y=(x+3)(x-1)

a) sketch on the same axes the line L and the curve C showing the values of the intercepts on the x-axes and the y axes

b)show that the x-coordinates of the points of interception of L and C satisfy the equation x^2-x-2=0

c)hence find the coordinates of the points of interception of L and C

I have done question a but I really am lost with question b as in class we haven't really done much on this and in the textbook and revision guide I can not seem to find anything explaining it. any help appreciated
the straight line L has the equation y=3x-1 and the curve C has equation y=(x+3)(x-1)

a) sketch on the same axes the line L and the curve C showing the values of the intercepts on the x-axes and the y axes

b)show that the x-coordinates of the points of interception of L and C satisfy the equation x^2-x-2=0

c)hence find the coordinates of the points of interception of L and C

I have done question a but I really am lost with question b as in class we haven't really done much on this and in the textbook and revision guide I can not seem to find anything explaining it. any help appreciated
If the point (a,b) is where L and C intersect, then the point is on both lines where they meet (what does that mean about the equations?)

Also notice that you just have x equations there so once you've figured out what to do with the equations given, you will know which variable to eliminate.
3. as SeanFM says... where the curve & line meet the y coordinates do something rather special ?

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: October 27, 2016
The home of Results and Clearing

### 1,333

people online now

### 1,567,000

students helped last year
Today on TSR

### University open days

1. Sheffield Hallam University
Tue, 21 Aug '18
2. Bournemouth University
Wed, 22 Aug '18
3. University of Buckingham
Thu, 23 Aug '18
Poll

## All the essentials

### Student life: what to expect

What it's really like going to uni

### Essay expert

Learn to write like a pro with our ultimate essay guide.

### Create a study plan

Get your head around what you need to do and when with the study planner tool.

### Resources by subject

Everything from mind maps to class notes.

### Study tips from A* students

Students who got top grades in their A-levels share their secrets