+23254 This graph will have a dashed line because it is an inequality without the equal sign.
If it were ≤ or ≥ then the line would be solid.
To find where the line should be drawn, find these two points: ( 0, y ) and ( x, 0 )
To find the point ( 0, y ) replace 0 for x in the equality: 5x - 2y = 10.
Putting in 0 for x and solving, y = -5 ---> ( 0, -5 )
To find the point ( x, 0 ) replace 0 for y in the equality: 5x - 2y = 10.
Putting in 0 for y and solving, x = 2 ---> ( 2, 0 )
Place those two points on the graph and draw a dashed line through those points.
Now, you will have to shade one side of the line; either above or below. Chose any point which is clearly one on side or the other.
The point ( 0, 0 ) is easy to use and is clearly above the line, so test ( 0, 0 ) in the inequality 5x - 2y > 10.
If the point makes the equation true, then shade the side that the point is on; if the point does not make the equation true, then shade the opposite side.
Putting ( 0, 0 ) into 5x - 2y > 10 you get 5(0) - 2(0) > 10 which is 0 > 10 which is clearly false.
Thus, graph the opposite side, the side that doesn't contain this point; graph the region below the line.
