Posted by **John** on Monday, June 30, 2008 at 9:41am.

1. Write an equation in slope-intercept form for the line that passes through (3,5) and (-2,1).

2. Describe the system 6x-2y=10 and 9x-3y=8 as consistent and independent, consistent and dependent, or inconsistent. Explain

- algebra -
**drwls**, Monday, June 30, 2008 at 10:15am
1. The slope-intercept form is

y = mx + b

Write these two equations that must be satisfied for the two points:

5 = 3m + b

1 = -2m + b

Subtract the second from the first:

4 = 5m m = 4/5

5 = 12/5 + b

b = 13/5 etc.

2. Multiply the first equation by 1.5 and get

9x - 3y = 15

This is inconsistent wth the second equation. They repreesnt two parallel lines. They cannot both be satisfied at any point in (x,y) space.

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