math problem?

Question

find the point of intersection of two of the perpendicular bisectors algebraically

equations: y=4x-1 and y=-1/2x-1/2
tell how u did it please =D

Answer 1

That is where the two equations equal each other:
4x-1 = -1/2x-1/2
8/2 x + 1/2 x = 1/2
9/2 x = 1/2
x = 2/9 * 1/2
x = 2/18
x = 1/9

Then use either equation to solve for y:
y=4x-1
y = 4(1/9) - 1
y= -5/9

so your intersection is {1/9,-5/9}

Answer 2

Since you have 2 equations, set them so that they are equal (ie: to find the points of intersection), so we have:

4x-1 = -0.5x-0.5
4.5x = 0.5
x= 1/9

Plug this value back into either equation to solve for way, so
taking the 1st equation: y=4x-1
y= 4(1/9) -1
y= 4/9 -1
y= -5/9

So the point of intersection= (1/9, -5/9)