What would be the coordinate of the point of intersection of the given two lines:Find the equation of the line through the point (1,3) and the point of intersection of the lines 2x+y+1=0 and 2x-5y+7=0
Someone used a pretty neat technique in an earlier post (don't remember which one) : if [imath]f(x,y)=0[/imath] and [imath]g(x,y)=0[/imath] are equations of straight lines then the equation of any straight line containing their intersection point can be expressed as [imath]\alpha f(x,y) + \beta g(x,y) = 0[/imath] for some values of [imath]\alpha[/imath] and [imath]\beta[/imath]....editedFind the equation of the line through the point (1,3) and the point of intersection of the lines 2x+y+1=0 and 2x-5y+7=0
Did you mean:Someone used a pretty neat technique in an earlier post (don't remember which one) : if [imath]f(x)=0[/imath] and [imath]g(x)=0[/imath] are equations of straight lines then the equation of any straight line containing their intersection point can be expressed as [imath]\alpha f(x) + \beta g(x) = 0[/imath] for some values of [imath]\alpha[/imath] and [imath]\beta[/imath]..
I did, kind of. But I was kind of sloppy and used 'x' to denote a vector.Did you mean:
if f(x,y)=0 and
g(x,y)=0 are equations of straight lines then.................