A train departs from New York City and travels toward Chicago traveling at an average speed of 75 miles per hour. What best desc
ribes the train's distance from Chicago as time increases?
2 answers:
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Answer:
See below:
Step-by-step explanation:
To find the slope, we use the following formula:
For this case, we can use (6,60) as the first set of points.
We can use (4,70) as the second set of points.
Now, we can use the formula, 70-60 is for the top of the fraction (10)
We can do 4-6 to find the bottom, which is (-2)
Now, if we add the fraction back we get -> 10/-2 which is -5 for slope!
To find out the y intercept, it in simple words is "What is y when x is 0?".
We can do that by using the slope intercept formula: .
Once we insert our slope which is -2 we get:
We can now substitute a point, lets use (6,60) so we can find out b.
We now get the equation: .
If we solve for that we get 90!
Once we input that, we get,
Now we put in x as 0 and we get our y intercept as 90!
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