document.write( "Question 77587: Find the standard form of the equation of the line with slope 1 and y-intercept 2 \n" ); document.write( "
Algebra.Com's Answer #55670 by bucky(2189) ![]() You can put this solution on YOUR website! As a start you can use the slope intercept form of an equation. The slope intercept \n" ); document.write( "is: \n" ); document.write( ". \n" ); document.write( "y = mx + b \n" ); document.write( ". \n" ); document.write( "where m is the slope and b is the y intercept. The problem tells you that the slope (m) \n" ); document.write( "is 1 and the y-intercept (b) is 2. Substitute these values to get: \n" ); document.write( ". \n" ); document.write( "y = 1x + 2 \n" ); document.write( ". \n" ); document.write( "and you need not show the 1 that multiplies x because the 1 is understood. This means the \n" ); document.write( "equation is: \n" ); document.write( ". \n" ); document.write( "y = x + 2 \n" ); document.write( ". \n" ); document.write( "But this is not in standard form. The standard form of a linear equation is: \n" ); document.write( ". \n" ); document.write( "Ax + By = C \n" ); document.write( ". \n" ); document.write( "Where A, B, and C are constants. \n" ); document.write( ". \n" ); document.write( "To get y = x + 2 into this form, all we need to do is subtract x from both sides so that \n" ); document.write( "we eliminate the +x from the right side. When we do the subtraction the equation \n" ); document.write( "becomes: \n" ); document.write( ". \n" ); document.write( "-x + y = 2 \n" ); document.write( ". \n" ); document.write( "and if you compare this with the standard form Ax + By = C you will see that it matches \n" ); document.write( "and that A = -1, B = +1 and C = 2 \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand a way that you can use the slope intercept form of \n" ); document.write( "an equation and that if you have the slope intercept form, you can rearrange things into \n" ); document.write( "the standard form of an equation. \n" ); document.write( " \n" ); document.write( " |