Bruce is given the graph of y = 3x - 2

He is going to draw a second graph on the same axes.

He wants the x-coordinates of the points of intersection of the two graphs to be the solutions to the quadratic equation x^2 + x - 7 = 0

Work out the equation of the graph that needs to be drawn. Do not draw the graph.

I have tried a few ways of doing this -not sure if I am right!

Firstly:

x^2 + x -7 = 3x - 2 and solved, but soon realised that this gave me the x-cocordinates but not the 'equation of the graph that needs to be drawn'.

Secondly:

adding the two equations and trying to solve as a pair of simultaneous equations -didn't get very far that way either.

I'm a bit stumped, I'm not sure how I would go about tackling this kind of problem -help!