Respuesta :
Answer:
Misty correctly determined the equation of the linear function.
Step-by-step explanation:
It is given that the equation of linear function determined by Misty is
[tex]y=-2x+9[/tex]
We have check that either she is correct or not.
It is given that the linear function passing through the points (1, 7) and (2, 5).
If a linear function passing through two points, then the equation of linear function is
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The equation of line is
[tex]y-7=\frac{5-7}{2-1}(x-1)[/tex]
[tex]y-7=\frac{-2}{1}(x-1)[/tex]
[tex]y-7=-2x+2[/tex]
[tex]y=-2x+2+7[/tex]
[tex]y=-2x+9[/tex]
Since the calculated equation is same as the given equation, therefore we can say that Misty correctly determined the equation of the linear function.
