Slope intercept form

how to turn (-3,1) and (5,4) in to slope-intercept form useing (y-y1)=m(x-x1)

One Answer:
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Let (x1,y1) = (-3,1)

Let (x2,y2) = (5,4)

First find the slope m:

m = (y2-y1)/(x2-x1)

m = (4-1)/(5--3)

m = 3/8

Then plug it in:

(y-y1)=m(x-x1)

(y-1) = (3/8)(x--3)

You can see this line graphed here:

(y-1) = (3/8)(x--3), (-3,1), (5,4)

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