Which system of equations is best represented by this graph?
1 answer:
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Answer:
(18,27) , because the rate of change of the function is
Step-by-step explanation:
step 1
Find the slope of the linear equation
Looking at the table
we have the points (0,3) and (3,7)
The slope is equal to
step 2
Find the equation of the line in slope intercept form
where
m is the slope
b is the y-intercept
we have
-----> point (0,3) is the y-intercept
substitute
The rate of change of the linear equation is equal to
Remember that
If a ordered pair is a solution of the linear equation, then the ordered pair must satisfy the linear equation
<u><em>Verify </em></u>
1) point (18,27)
substitute the value of x and the value of y in the linear equation
-----> is true
so
The ordered pair is a solution of the linear equation
therefore
The point (18,27) could also be an ordered pair in the table
2) point (27,18)
substitute the value of x and the value of y in the linear equation
-----> is not true
so
The ordered pair is not a solution of the linear equation
therefore
The point (27,18) could not be an ordered pair in the table