<PRE><B>Question 827053</B>
First find the slope using equation {{{(y2 - y1)/(x2 - x1)}}}
Make  (5,1) = (x1,y1)
     (-2,3) = (x2,y2)
Substituting
 {{{(y2 - y1)/(x2 - x1)}}} = {{{(3 - 1)/(-2 - 5)}}}={{{(2)/(-7)}}}
Now use  y = mx + b as a template. m = {{{(2)/(-7)}}} as just determined.
for y and x, use the point (5,1). x=5 and y =1.
Substitute these values in y = mx + b
y = mx + b  ;  1 = (-2/7)5 + b
 1 = -10/7 + b
add 10/7 to each side
 1 + 10/7 = b
 17/7 = b
So our equation is y = (-2/7)x + 17/7</PRE>