Step-by-step explanation
Given equation:
5x + 2y = 4
Make y the subject of the relation
2y = 4 - 5x
Divide both sides by 2
y = 2 - 5x/2
Using x = -2
y = 2 - (5 x -2)/2
y = 2 - 5(-1)
y = 2 + 5
y = 7
Using x = 0
y = 2 - 5(0)/2
y = 2
Using x = 2
y = 2 - 5(2)/2
y = 2 - 5(1)
y = 2 - 5
y = -3
Using a graphing tool, the graph of 5x + 2y = 4 is:
Hence, equation 1 goes with the graph labeled Dark purple on the paper.