what is the equation of the line that passes through the point of intersection of the lines
y=2x-4 and y=-x+2, and is also parallel to the line y=1/2x+4?
Let's find the point where the first two lines intersect....setting the y's equal, we have :
2x - 4 = -x + 2 add x, 4 to both sides
3x = 6 divide by 3 on both sides
x = 2 so using this value in y = -x + 2.......y = 0
So....the intersection point of the first two lines = (2, 0 )
And parallel lines have the same slope....so....the slope of our line = 1/2......and we have
y - 0 = (1/2)(x - 2)
y = (1/2)x - 1 and that's the equation of our line
