Answer:
y = -2x + 13
Step-by-step explanation:
Mandy's line passed through points (2, 9) and (4, 5).
To find such line, first, we need to find its slope, with the following formula
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Using the given points in the fomula, we have
[tex]m=\frac{5-9}{4-2}=\frac{-4}{2}=-2[/tex]
So, the slope of Mandy's line is -2.
Now, we use the point-slope formula to find the equation of the line
[tex]y-y_{1} =m(x-x_{1} )[/tex]
[tex]y-5=-2(x-4)\\y=-2x+8+5\\y=-2x+13[/tex]
Therefore, Mandy's regression line is y = -2x + 13
