What is the slope of a line that is parallel to the line shown on the graph? a.–3 b.-1/3 c.1/3 d. 3

If we count from the point (0, 2), where the line goes through the y-axis, to the point where it goes through (1, -1) we are moving down 3 units (from 2 to -1 is 3 units) and over to the right 1 unit.  So the slope of this line is -3.  Negative slopes always go from upper left to lower right, whereas positive slopes always go from lower left to upper right.  So we know this is a negative slope.  Parallel lines by definition have the exact same slope, so a line parallel to this one will also have a slope of -3.