Answer:
<em>The lines have the same slope, but different intercepts. This means that they go in the same direction, but are in different parts of the grid, namely, every time that the x-coordinates are the same for two points with one on each of the lines, their y-coordinates will have a difference of 5 units.</em>
Step-by-step explanation:
y=1/4x would be a line going through the origin (0,0) and it would travel 4 units to the right and one unit up at a time. Thus, some points that would be intersected by this line would be (-8, -2), (-4, -1), (0, 0), (4, 1) and (8, 2).
y=1/4x - 5 would be a line that is parallel to the other line, meaning that they go in the same direction, and thus NEVER cross. <em>This</em> line, however, intersects the y-axis at 5 units lower than the other line. This means that the lines have the same slope, but different intercepts.
