Math help needed.
A train leaves the station at noon. The train is 180 miles from its destination at 12:45pm and 90 miles from its destination at 2:15pm.
How far is the station from the destination?
At what time will the train reach the destination?
Stacey Warren - Expert brainly.com
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90 miles from its destination
Although not stated, there seems to be an assumption that the train is moving at a constant rate (speed). So it's distance from the destination and time t is a linear relationship.
Thus, you know 2 points on the line that describes the relationship. If d=distance (this is like your "y") and t=time in minutes since noon(this is like your "x") then you have the following points (t, d):
So you can find a line. Then when t=0 you will have d when the train left the station - that is how far the station is from the destination.
When d=0 you will have the time (minutes) since noon that it takes to reach the destination.
You could also get the results in an "intuitive" way if you just look at the pattern of the distance vs. time. But the linear equation is a formal (and mathematically rigorous) way to approach it. :)