Hello from MrBillDoesMath!
Answer: Draw the line through the points (0,10) and (4,0)
Discussion
:
Subtract 5x from both sides of the equation 5x + 2y = 20. This gives
2y = 20 - 5x.
Divide both sides by 2 gives
y = -(5/2)x + 10
So, this is the equation of a line with slope -5/2 (the y values decreases as x increases).
The points (0,10) and (4,0) were obtained by substituting the values in the equation. For example, for x = 0
5x + 2y = 20
5*0 + 2y = 20
0 + 2y = 20
2y = 20
y = 10
So the line passes through the point x = 0, y = 10 or (0,10)
Regards, MrB
