AufQR$25\mathrm{.}2\mathrm{.}009.$

The number of gallons g of water in a cistern depends on the time in minutes t the water has been flowing into the cistern. Three ordered pairs of this function are

$(1,2),$

$(2,7),$

and

$(4,17).$

Is it possible that these three points lie on the same line?

YesNo$$

Explain.

A line requires a t$-$intercept and a g$-$intercept.The slope between one pair of points does not equal the slope between a different pair of points.$$ The slope between any two points is the same.A line can only be formed between two points.The g$-$values are increasing as the t$-$values increase.