What is the equation of the line through the origin and (3, 4)?
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Answer:
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
m is the slope of unit rate of the linear equation
b is the y-intercept or initial value of the linear equation
Let
t ----> the number of years since 2011
y --->the car's value
In this problem the year 2011 represent t=0
so
the year 2015, represent t=4 years (2015-2011)
we have the ordered pairs
(0,25,000) ----> represent the y-intercept
(4,12,000)
<em>Find the slope m</em>
The formula to calculate the slope between two points is equal to
substitute the values
---> is negative because is a decreasing function
we have
----> value of y when the value of x is equal to zero (initial value)
substitute the given values