From the graph
We have the points
[tex](1,70),(3,170)[/tex]
First, we are to find the slope
To slope will be calculated using
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the given points we have
[tex]\begin{gathered} x_1=1,x_2=3_{} \\ y_1=70,y_2=170 \end{gathered}[/tex]
Therefore, the slope is
[tex]\begin{gathered} m=\frac{170-70}{3-1} \\ m=\frac{100}{2} \\ m=50 \end{gathered}[/tex]
Therefore, the slope is 50
Next we are to apply point slope form formula
The formula is given as
[tex]y-y_1=m(x-x_1)[/tex]
By putting the values we have
We get the equation of the function as follows
[tex]\begin{gathered} y-70=50(x-1) \\ y-70=50x-50 \\ y=50x-50+70 \\ y=50x+20 \end{gathered}[/tex]
Therefore, the linear function is y = 50x + 20
Finind the vertical intercept
The vertical intercept is the value of y at x = 0
Putting x = 0 in the linear function we have
[tex]\begin{gathered} y=50(0)+20 \\ y=20 \end{gathered}[/tex]
The vertical intercept = 20
