Question

the diagonals of the rectangle have these equations. y= 4x - 10 y= -4x + 8 find where these lines intersect

Answer 1

hi

if it's intersect, then :

4x-10 = -4x+8

-10-8 = -4x-4x

-18 = -8x

-18/-8 = x

18/8 = x

9*2 /4*2 = X

9/4 = X

So X is 9/4 then y is : 4( 9/4) -10 = 9-10 = -1

Lines intercept at ( 9/4 ; -1)