document.write( "Question 1141416: Find the equation of the line through the point (-2,8) which has slope m=2. \n" ); document.write( "
Algebra.Com's Answer #761955 by greenestamps(13215)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "...or you can use the slope-intercept form instead of the point-slope form. Many students find this easier.

\n" ); document.write( "You know the equation is of the form y=mx+b, with m=2; and that the point (x,y) = (-2,8) is on the line. So

\n" ); document.write( "\"y+=+2x%2Bb\"
\n" ); document.write( "\"8+=+2%28-2%29%2Bb\"
\n" ); document.write( "\"8+=+-4%2Bb\"
\n" ); document.write( "\"12+=+b\"

\n" ); document.write( "The equation is

\n" ); document.write( "\"y+=+2x%2B12\"

\n" ); document.write( "As you get more comfortable with the subject of linear equations, you can get to the answer without the formal mathematics, starting with the equation y = 2x+b:

\n" ); document.write( "The point (-2,8) is on the line;
\n" ); document.write( "2 times -2 is -4;
\n" ); document.write( "what do I need to add to that -4 to get 8? 12

\n" ); document.write( "ANSWER: y = 2x+12
\n" ); document.write( "
\n" );