Posted by **Jazz** on Thursday, January 17, 2008 at 8:01pm.

I cannot remember how to find the slope of a line when you are given two points.

Here is the problem.

The slope of a line through (2,1) and (5,n) is 3. n=___

I ended up with -2. But I don't think that is the right answer. I put the points in slope-intercept form and solved for y, which would end up being n, right?

y(or n)=5x+3

y(1)=2x+3 [x equals -1 right?]

I'm so confused. . . .

- Math -
**Reiny**, Thursday, January 17, 2008 at 8:10pm
How would you find slope if you knew all of the two points

just set

(n-1)/(5-2)=3

n-1 = 9

n = 10

test is by finding the slope, it works

- Math -
**Reiny**, Thursday, January 17, 2008 at 8:15pm
the method you tried will work, but you made an error.

here is how it would have looked:

let y = mx + b, but we have a point (2,1) and m=3

1 = 3(2) + b

b = -5

so the equation is y = 3x - 5

now sub in (5,n)

n = 3(5) - 5

n = 10

much longer and more complicated, you must agree.

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