document.write( "Question 6121: Y X
\n" ); document.write( "-4 -3
\n" ); document.write( "10 4
\n" ); document.write( "
\n" ); document.write( "what is the equation for these points \n" ); document.write( "
Algebra.Com's Answer #3265 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Perhaps the appropriate question should be...what is the equation of the line that passes through these two points, (-3, -4) and (4, 10)?\r
\n" ); document.write( "\n" ); document.write( "You could start with the slope-intercept form of the equation of a line:
\n" ); document.write( "y = mx + b\r
\n" ); document.write( "\n" ); document.write( "Find the slope, m, using the given x and y coordinates of the given points.\r
\n" ); document.write( "\n" ); document.write( "m = (y2 - y1)/(x2 - x1)
\n" ); document.write( "m = (10 - (-4))/(4 - (-3))
\n" ); document.write( "m = 14/7
\n" ); document.write( "m = 2\r
\n" ); document.write( "\n" ); document.write( "Now you have: y = 2x + b You need to find the value of b, the y-intercept.
\n" ); document.write( "You do this by substituting the x, y values from either of the two given points and solve for b. Let's use the second point, (4, 10)\r
\n" ); document.write( "\n" ); document.write( "10 = 2(4) + b Solve for b.
\n" ); document.write( "10 = 8 + b Subtract 8 from both sides.
\n" ); document.write( "2 = b\r
\n" ); document.write( "\n" ); document.write( "Now you can write the equation of the line that passes through the two given points:\r
\n" ); document.write( "\n" ); document.write( "y = 2x + 2\r
\n" ); document.write( "\n" ); document.write( "The verification is left as an exercise for the student.\r
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