document.write( "Question 827743: If you had to make an equation in slope-intercept form (y=mx+b) when given two coordinates, how would you do so without making a graph? \n" ); document.write( "

Algebra.Com's Answer #498855 by josgarithmetic(39617) $\"\"$ $\"About$

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A couple ways to do it. You can use slope and its formula. You could instead, form two equations using the two points and have a system of two simultaneous equations, and solve the system for the unknown constants, m and b.\r
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\n" ); document.write( "\n" ); document.write( "One example, very general, (u,v) and (p,r), the given points.
\n" ); document.write( " $\"m=%28r-v%29%2F%28p-u%29\"$ , which you might want to compute if using example with known coordinates.
\n" ); document.write( "From y=mx+b, you can solve for b, getting b=y-mx.
\n" ); document.write( "Use either given point for a better formula for b.
\n" ); document.write( " $\"b=v-%28%28r-v%29%2F%28p-u%29%29u\"$ ;
\n" ); document.write( "and use this \"value\" of b to more simply write the y=mx+b form of equation, assuming you wanted the slope-intercept form. \n" ); document.write( "

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