write an equation in slope intercept form for the line through the given points

Hello!

First write the equation in the general form:

(x-x1)/(x2-x1) = (y-y1)/(y2-y1), here

(x-2)/(1-2) = (y-3)/(5-3),

-(x-2) = (y-3)/2,

-2(x-2) = y-3,

y = -2x + 7.

Slope m=-2, y-intercept b=7.

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