# Thread: Line cuts the curve

1. ## Line cuts the curve

Find the coordinates of the points where the line y=3x-2 cuts the curve y=x(sqrd)+4x-8

do i solve this simultanously? i know i would for two lines but a line a curve confuses me... thanks

2. Originally Posted by RubbishAtMaths
Find the coordinates of the points where the line y=3x-2 cuts the curve y=x(sqrd)+4x-8

do i solve this simultanously? i know i would for two lines but a line a curve confuses me... thanks
Yes it's just the same, solve them simultaneously.

At the point where they cut they both have the same y coordinate.

therefore y = y

$\therefore 3x-2=x^2+4x-8$

$\therefore x^2+x-6 = 0$

Solve for x and this gives you the x coordinates of the cutting points (there's 2 points where this line cuts this curve!), plug these points into either y equation to get corresponding y coordinates.