Posted by **Jake** on Wednesday, January 7, 2009 at 7:46pm.

Stephen is walking from his house to his friend Sharon's house. When he is 12 blocks away, he looks at his watch. He looks again when he is 8 blocks away and finds that 6 minutes have passed. Write 2 ordered pairs for these data in the form (time, blocks).

Write a linear equation for these 2 points.

What is the total amount of time it takes Stephen to reach Sharon's house? Explain please.

- Algebra I -
**Damon**, Wednesday, January 7, 2009 at 7:58pm
(time t, blocks d)

(0 , 12)

(6 , 8 )

d is distance from house in blocks

d = m t + b

12 = 0 + b so b = 12

8 = m *6 + 12

-4/6 = m

m = -2/3

so

d = -(2/3) t + 12

0 = -(2/3) t + 12

t = (3/2) * 12 = 18 minutes

- Algebra I -
**Reiny**, Wednesday, January 7, 2009 at 7:59pm
the two ordered pairs from your information are

(0,12) and (6,8)

slope = (12-8)/-6

= -2/3

So Blocks = (-2/3)t + b

using (0,12)

12 = 0 = b

b = 12

so the linear equation is

Blocks = (-2/3)Time + 12

when he reaches Sharon's house Blocks = 0

so 0 = (-2/3)time + 12

(2/3)time = 12

time = 18

it will take 18 minutes

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