The equation of the trend line is [tex]N=-2M+110[/tex]
Explanation:
To find the equation of the trend line, let us use the formula,
[tex]y=Ax+b[/tex]
Looking closely in the graph, the starting point is found to be 110.
Thus, substituting [tex]b=110[/tex], we have,
[tex]y=Ax+110[/tex]
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 [tex]x=20[/tex] and [tex]y=70[/tex], we have,
[tex]\begin{aligned}70 &=20 A+110 \\-40 &=20 A \\-2 &=A\end{aligned}[/tex]
Thus, substituting in the formula,
[tex]y=-2x+110[/tex]
Thus, the trend line is [tex]N=-2M+110[/tex]
