document.write( "Question 638158: Find an equation of the line having the given slope and containing the given point.\r
\n" );
document.write( "\n" );
document.write( "m=7/8, (1,-2) \n" );
document.write( "
Algebra.Com's Answer #402052 by DrBeeee(684)![]() ![]() ![]() You can put this solution on YOUR website! General equation of a straight line is \n" ); document.write( "y = mx + b. this is called the slope-intercept form because m stands for the slope and b is the y-intercept. This line passes through the point (0,b) \n" ); document.write( "You want m=7/8, so you want \n" ); document.write( "y = (7/8)x +b \n" ); document.write( "To get the value of b, substitute the cordinates of the point (1,-2) giving \n" ); document.write( "-2 = (7/8)(1) + b \n" ); document.write( "Now solve for b \n" ); document.write( "b = -2 - 7/8 \n" ); document.write( "b = -23/8 \n" ); document.write( "Your final equation is \n" ); document.write( "y = (7/8)x - 23/8 \n" ); document.write( "Does this go through (1,-2)? \n" ); document.write( "Does [-2 = (7/8)(1) - 23/8]? \n" ); document.write( "Does [-2 = 7/8-23/8]? \n" ); document.write( "Does [-2 = -16/8]? \n" ); document.write( "Does [-2 = -2]? Yes \n" ); document.write( "Answer: y = (7/8)x - 23/8 \n" ); document.write( " |