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algol13
2 years ago
15

Write an equation of the line in slope-intercept form.

Mathematics
2 answers:
fiasKO [112]2 years ago
6 0

Answer:

y=mx+b where m is the slope and b is where the line crosses the y axis.

THe line crosses the y axis at 0, 2 so 2 = b

the slope is how many units the point goes up/down and to the left/right from the y intercept. From 0, 2 to 3, 3 the point goes up 1 and over to the right 3 times. rise/run is slope so 1/3 is the slope:

y=1/3x+2

Step-by-step explanation:

allochka39001 [22]2 years ago
4 0

Answer:

Y= -1/3x + 4

Step-by-step explanation:

Slope equation= y2 - y1/x2 -x1

Subtract 2-3/ 0-3 = -1/3

Choose an ordered pair to use for this problem. I chose 3,3.

Y-intercept equation- y = mx + b

3 = -1/3 * 3 + b

Multiply-1/3 * 3

3 = -1 + b

Add 1 to get rid of -1 and get b alone

3 + 1 = -1 + 1 +b

4= b

Now plug in your numbers to your equation.

Y= -1/3x + 4

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4 0
2 years ago
A cable company uses the formula S = 20,000 (1 + 0.08)y to estimate the number of subscribers, S, that use their service after y
Ivahew [28]

Options :

A. Every year the number of subscribers is estimated to increase by 8 over the number

of subscribers the year before.

B. Every year the number of subscribers is estimated to increase by 8% of the original

20,000 subscribers

C. Every year the number of subscribers is estimated to increase by 8% over the

number of subscribers the year before.

D. Every year the number of subscribers is estimated to increase by 80% of the

original 20,000 subscribers.

Answer:

C. Every year the number of subscribers is estimated to increase by 8% over the

number of subscribers the year before.

Step-by-step explanation:

Given that:

The formula represents an exponential function :

S = 20,000 (1 + 0.08)^y

General form of an exponential equation :

y(x) = ab^x

Where a = initial value ; b = rate of change ; x = time

Comparing the formula given with the general equation:

a = 20000 = Number of subscribers when company began

b^x = (1 + 0.08)^y = percentage increase in the number of subscribers over y years

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3 years ago
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