Thread: Find the intersections of the lines

l : 3x+4y =5 and m: (x,y) = (2, -4) + t(2,6)

So, I was thinking i could turn m into slope form, like l is..

so I think m: (x,y) = (2, -4) + t(2,6) is also y = 3x - 10

and then I just find where they are equal? or use system of linear equations and substitute?

Originally Posted by zodiacbrave

l : 3x+4y =5 and m: (x,y) = (2, -4) + t(2,6)

So, I was thinking i could turn m into slope form, like l is..

so I think m: (x,y) = (2, -4) + t(2,6) is also y = 3x - 10

and then I just find where they are equal? or use system of linear equations and substitute?

Use your parametric form in the general form. i.e. if and then

and solve for . Once you have this, sub. back into your parametric form.

Spoiler:

and the point is