To fidn the euatio of the trend line:
1. Identify two points (x,y) in the line:
(30, 25) and (120,60)
2. Find the slope m:
Formula to find the slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For the trend line:
[tex]m=\frac{60-25}{120-30}=\frac{35}{90}=\frac{7}{18}[/tex]
3. Find the y-intercept b:
Use the value of the slope and one point in the from y=mx+b:
(30,25) x= 30, y=25
m=7/18
[tex]\begin{gathered} 25=\frac{7}{18}(30)+b \\ \\ 25=\frac{210}{18}+b \\ \\ 25-\frac{210}{18}=b \\ \\ \frac{450-210}{18}=b \\ \\ \frac{240}{18}=b \\ \\ \frac{40}{3}=b \end{gathered}[/tex]
4. Write the equation with the values of m and b you find:
[tex]\begin{gathered} y=\frac{7}{18}x+\frac{40}{3} \\ \\ \end{gathered}[/tex]
