Posted by **Sam<3** on Sunday, October 18, 2009 at 10:01am.

Write an equation in point-slope form of the line that passes through the given points:

1. (5,-6), (1,-7)

2. (6,-3), (-1,9)

3. write an equation of a line that is perpendicular to y=-3x+5 and passes through (4,3).

- Algebra (grade 9) -
**Reiny**, Sunday, October 18, 2009 at 10:16am
for #1 and #2

first find the slope, that gives you the m.

Now pick one of the given points and sub those values into

y = mx + b

Solve for b and rewrite the equation.

I am sure that your teacher and/or your textbook has given you several examples of this type of fundamental question.

#3.

The line perpedicular to the given line must have slope of 1/3

so new equation:

y = (1/3)x + b

sub in (4,3)

3 = (1/3)(4) + b

I usually get rid of my fractions by multiplying by whatever the denominator is

9 = 4 + 3b

b = 5/3

final equation : y = (1/3)x + 5/3

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