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Find the slope? (2, -1) and (6,3)

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Slope is just RISE over RUN. That's the vertical distance between the points divided by the horizontal distance between the points.

The general form for slope when you have two points (X1,Y1), (X2,Y2) is

(Y2 - Y1) / (X2 - X1)

Subtract the Y coordinates to get RISE

3 - -1 = 3 + 1 = 4

Subtract the X coordinates to get RUN

6 - 2 = 4

So

4/4 = 1 (There's your slope.)

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Y=AX+b,(2,-1)&(6,3).u got 2 eq: (1)-1=A*2+b;(2)3=A*6+b;;;;;;;For(2)u can see as:b=3-A*6,then put this in to(1),u got:-1=A*2+3-A*6. A=1

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Good idea, chloe, but a little confusing all bunched together like that...

In the equation y = mx + b, m is the slope of the line and b is where the line crosses the y-axis. If you substitute the points given into the equation you get

-1 = 2m + b
and
3 = 6m + b

You can solve one of them for b

-1 = 2m + b
-1 - 2m = b

and substitute that into the other equation and solve for m

3 = 6m + (-1 - 2m)
3 = 6m - 1 - 2m
3 = 4m - 1
4 = 4m
1 = m

You can also solve by using the other equation first

3 = 6m + b
3 - 6m = b

and substituting for b in the other equation

-1 = 2m + (3 - 6m)
-1 = 3 - 4m
-4 = -4m
1 = m
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