Respuesta :

Answer:

Explanation:

The equation of a line is given by

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept (the point where the line intersects the y-axis).

Now, in our case, the y-intercept is b = 100 and so our equation looks like

[tex]y=mx+100[/tex]

and the slope is found by computing rise/run using points (4, 200) and (2, 150)

[tex]m=\frac{200-150}{4-2}=25[/tex]

Hence, the equation of the line is

[tex]y=25x+100[/tex]

and the initial value is found at x = 0, which is the y-intercept.

To summarize,

equation: y = 25x + 100

initial value : y = 100.