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Write the equation in slope intercept form

Write the equation in slope intercept form-example-1
User Vgonisanz
by
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1 Answer

3 votes

Answer:


y=(f(A)-f(0))/(A)x+f(0)

Explanation:

Ok we have two intersections:

One point of intersection is (0,f(0)).

Another point of intersection is (A,f(A)).

Slope-intercept form of a linear equation is y=mx+b where m is the slope and b is the y-intercept.

We actually are given the y-intercept is f(0). That means b=f(0).

Now we need to calculate the slope which is rise/run or change in y over change in x.

I'm going to find the slope by lining up the points vertically and subtracting vertically, then will put 2nd difference over 1st difference.

Like so:

(A. , f(A))

-(0. , f(0))

--------------

A f(A)-f(0)

So the slope is
(f(A)-f(0))/(A).

We are now ready to give our answer for the linear equation in slope-intercept form.

We have
m=(f(A)-f(0))/(A) and
b=f(0).

Entering into y=mx+b form:


y=(f(A)-f(0))/(A)x+f(0)

User Bastelflp
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