Question

Letters A and B represent a question graph shown below

Answer 1

Hi Andres,

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Coordinates:

(6,12) and (3,21)

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Slope:

Formula: $\frac{y2 - y1}{x2 - x1}$

Solution: $\frac{21 - 12}{3 - 6} = \frac{9}{-3} = -3$

Slope: -3

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Compute the y intercept:

Use: y = mx + b

y = (-3)x + b

12 = (-3) x 6 + b

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Isolate b:

(-3) x 6 + b = 12

-3 x 6 + b = 12

-18 + b = 12

b = 30

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Slope Intercept Form:

Follow y = mx + b

m = slope

b = y intercept

Answer: y = -3x + 30

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Point Intercept Form:

Formula: y - y1 = m(x - x1)

m = slope

y1 and x1 = first coordinate set.

m = -3

y1 = 12

x1 = 6

Answer: y - 12 = -3(x - 6)

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Part B:

Approximately for every day he spends delivering he spends a 2.1 minutes on it per day. Well, the reason I say this is because on the chart it says he spends 10 days. When you multiply 10 and 2.1 you get 21!

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Hope This Helps :)