the table of values represents a linear function. For this function, what is the value of y when x=4?
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For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
By definition, if two lines are parallel then their slopes are equal.
Then, the requested line will have a slope equal to:
Thus, the line is of the form:
We substitute point and find "b":
Finally, the equation is:
Answer: