document.write( "Question 542888: Write equation in slope-intercept form for the line that passes through (5, 0) and is perpendicular to the line described by y=-5/2x +6 \n" ); document.write( "
Algebra.Com's Answer #354694 by lmeeks54(111)![]() ![]() You can put this solution on YOUR website! The slope-intercept form of an equation is: \n" ); document.write( "y = mx + b, where: \n" ); document.write( "m = the slope of the line \n" ); document.write( "b = the y intercept (where x = 0) \n" ); document.write( "... \n" ); document.write( "Given: \n" ); document.write( "y = -5/2 x + 6 \n" ); document.write( "line passes through the point (5, 0). Note points are in the form (x, y) \n" ); document.write( "... \n" ); document.write( "problem: find a line parallel to line given above. Parallel means has to have the same slope. \n" ); document.write( "... \n" ); document.write( "When we have a point, like (5, 0), that means that point is a solution to the equation. We already know m (slope), x, and y, we need to solve for b to create our parallel line: \n" ); document.write( "... \n" ); document.write( "Given: \n" ); document.write( "m = -5/2 (or -2.5) \n" ); document.write( "x = 5 \n" ); document.write( "y = 0 \n" ); document.write( "Find b \n" ); document.write( "... \n" ); document.write( "0 = -5/2 (5) + b \n" ); document.write( "0 = -12.5 + b \n" ); document.write( "... \n" ); document.write( "add 12.5 to both sides: \n" ); document.write( "12.5 = b \n" ); document.write( "... \n" ); document.write( "Solution equation is: \n" ); document.write( "y = -2.5 x + 12.5 \n" ); document.write( "... \n" ); document.write( "cheers, \n" ); document.write( "Lee \n" ); document.write( " \n" ); document.write( " |