Question

Find the rate of change and initial value. Write an equation.

Answer 1

Step-by-step explanation:

The equation of a line is given by

`y=mx+b`

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

`y=mx+100`

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

`m=(200-150)/(4-2)=25`

Hence, the equation of the line is

`y=25x+100`

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

To summarize,

equation: y = 25x + 100

initial value : y = 100.