document.write( "Question 508211: Hello on my math homework I need to write an equation for a line in 3 forms and show the mathematics used to equate all 3. If you can please help me it is greatly appreciated. \n" ); document.write( "
Algebra.Com's Answer #340892 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! It would be helpful for you to state what the three forms of a linear equation are. \n" ); document.write( ". \n" ); document.write( "You could be talking about any of the following four likely candidates: \n" ); document.write( "1) general form: Ax + By = C \n" ); document.write( "2) standard form: Ax + By - C = 0 \n" ); document.write( "3) slope-intercept: y = mx + b \n" ); document.write( "4) point-slope: y-y1 = m(x-x1) \n" ); document.write( ". \n" ); document.write( "We can pick any linear equation and then reformat it as needed. \n" ); document.write( "Let's say: \n" ); document.write( "y = 2x + 3 \n" ); document.write( ". \n" ); document.write( "1) General Form \n" ); document.write( ". \n" ); document.write( "y = 2x + 3 \n" ); document.write( "subtract 2x from both sides \n" ); document.write( "-2x + y = 3 \n" ); document.write( ". \n" ); document.write( "2) Standard Form \n" ); document.write( ". \n" ); document.write( "subtract 3 from both sides of the general form \n" ); document.write( ". \n" ); document.write( "-2x + y - 3 = 0 \n" ); document.write( ". \n" ); document.write( "3) Slope-Intercept Form \n" ); document.write( ". \n" ); document.write( "y = 2x + 3 \n" ); document.write( ". \n" ); document.write( "(Yes, that was the original equation I started with.) \n" ); document.write( ". \n" ); document.write( "4) Point-Slope Form \n" ); document.write( ". \n" ); document.write( "We know the slope =2 from above. \n" ); document.write( "You need to define 2 points \n" ); document.write( ". \n" ); document.write( "x = 1 results in y= 5: (1,5) \n" ); document.write( ". \n" ); document.write( "x1 = 3 results in y1 = 9: (3,9) \n" ); document.write( ". \n" ); document.write( "(1-3) = 2(5-9) \n" ); document.write( ". \n" ); document.write( " |