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December 20, 2014

December 20, 2014

Posted by **jessica** on Saturday, October 31, 2009 at 9:00pm.

like (3,5) and(2,-2)

how do i solve that

- alegebra 1 -
**jim**, Saturday, October 31, 2009 at 9:09pmGiven two points, the slope is easy: it's the difference in the ys divided by the differences in the xs.

Just be careful to get the numbers in the right order and careful of the signs.

For example, (3,5) and(2,-2)

x1=3

x2=2

y1=5

y2=-2

So the slope is

(y1 - y2)/(x1 - x2)

= (5 - (-2)) / 3 - 2

= (5 + 2) / 1

= 7

We can go on from there to get the equation of the line:

y = mx + c , where m is the slope

y = 7x + c in this case

But what is c? Well, we substitute any point on the line for x and y, and

5 = 7*3 + c

5 = 21 + c

c = -16

So the line is

y = 7x - 16

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