do y=-1/2x-4 and y=-1/2x+3 intersect?

Answer 1

y=(-1/2)x -4

and

y = (-1/2)x +3

are two straight parallel lines that never intersect

they both have the same slope, -1/2, but the first line is everywhere 7 units below the 2nd line

set the y values equal, and you get

(-1/2)x -4 = (-1/2)x +3

-4 +3 is a contradiction. there is no solution, no intersection. there are no x and y values that make both equation true

it might help to graph the two lines