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

Find the rate of change and initial value. Write an equation.-example-1
User Abhishek Ghaskata
by
3.2k points

1 Answer

23 votes
23 votes

Answer:

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.

User Nesta
by
3.2k points
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