To find the drawing's scale factor in terms of a ratio, we use the information provided: the scale drawing of the house represents 5 centimeters for every 7 meters in reality.
First, we need to express both measurements in the same units. Let's convert 7 meters to centimeters, since 1 meter = 100 centimeters:
\[ 7 \text{ meters} = 7 \times 100 = 700 \text{ centimeters} \]
Now we can set up the ratio of the drawing to the actual size:
\[ \text{Drawing} : \text{Actual size} = 5 \text{ cm} : 700 \text{ cm} \]
To simplify the ratio, we divide both sides of the ratio by 5:
\[ 5 \div 5 : 700 \div 5 = 1 : 140 \]
Thus, the drawing's scale factor, simplified as a ratio, is:
\[ \boxed{1:140} \]
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