Answer: This is not a direct proportion
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Step-by-step explanation:
Solve for y
2y-5 = x
2y = x+5
y = (x+5)/2
y = (x/2) + (5/2)
y = 0.5x + 2.5
The last equation is in the form y = mx+b where m = 0.5 is the slope and b = 2.5 is the y intercept. The y intercept must be b = 0 in order for the graph to go through the origin. Since b = 2.5 is not zero, this is why we don't have a direct proportion.
Note: direct proportions are often written in the form y = k*x which is basically y = mx+b, but the m has been replaced with k and the b is removed (because b = 0)