SOLUTION: Pedro is traveling on a toll road and plans to exit 5 miles ahead and pay $1.75.He continues and travels 9 miles to pay $2.75.I am trying to figure out the y-intercpt.

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Question 1074115: Pedro is traveling on a toll road and plans to exit 5 miles ahead and pay $1.75.He continues and travels 9 miles to pay $2.75.I am trying to figure out the y-intercpt.
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
This problem forces us to assume that Pedro has just entered the toll road. He has gone no miles on the toll road yet.

x, miles traveled on the toll road
y, the toll to be paid for x miles

According to his plan, (5, 1.75), an (x,y) point.
According to what happened, (9, 2.75), another point.

Slope m:
%282.75-1.75%29%2F4

m=1%2F4

Picking the "plan" point and found slope
and putting into point-slope equation form:
y-1%263%2F4=%281%2F4%29%28x-5%29

Simplify and put into slope-intercept form:
highlight%28y=x%2F4%2B1%2F2%29

highlight%28y=x%2F4%2Bhighlight_green%281%2F2%29%29
The y-intercept is 1%2F2.