Question

Can someone help me please?

Answer 1

`Answer:\ \boxed {-n+3}`

Explanation:

y=mx+b

1.

To find m, choose any two coordinates from the table: (1,2) and (0,3)

and use the formula for the slope of the line:

`\displaystyle\\\boxed {The\ slope\ m=(y_2-y_1)/(x_2-x_1) }`

`\displaystyle\\m=(3-2)/(0-1) \\\\m=(1)/(-1) \\\\m=-1\\\\Hence,\ y=-x+b\ \ \ \ (1)`

2.

To find b, choose any coordinate from the table: (2,1) and substitute its values into the formula (10):

`2=-(1)+b\\\\2=-1+b\\\\2+1=-1+b+1\\\\3=b\\\\Thus,\ b=3\\\\Hence, \ y=-x+3`