Question

What is the equation of this trend line?

Enter your answers by filling in the boxes.

N =
M +

Answer 1

N=-2 m + 110

Step-by-step explanation:

Answer 2

The equation of the trend line is
`N=-2M+110`

Step-by-step explanation:

To find the equation of the trend line, let us use the formula,

`y=Ax+b`

Looking closely in the graph, the starting point is found to be 110.

Thus, substituting
`b=110`, we have,

`y=Ax+110`

To determine the value of A, let us substitute the value of x and y.

Since, it is a decreasing line, and A < 0, let us substitute the value
`x=20` and
`y=70`, we have,

`\begin{aligned}70 &=20 A+110 \\-40 &=20 A \\-2 &=A\end{aligned}`

Thus, substituting in the formula,

`y=-2x+110`

Thus, the trend line is
`N=-2M+110`