document.write( "Question 268227: i am trying to use the given conditions to write an equation for the line slope intercept form: (10, 12) and parallel to y=3x-8. i just need to see how it is worked out im sure that i have the right answer but get confused trying to work backwards \n" ); document.write( "
Algebra.Com's Answer #196628 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Do it like this: \n" ); document.write( "A line and a point example. \n" ); document.write( "Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) \n" ); document.write( "----------------- \n" ); document.write( "Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. \n" ); document.write( "9x+3y = 36 \n" ); document.write( "3y= - 9x + 36 \n" ); document.write( "y = -3x + 13 \n" ); document.write( "The slope, m = -3 \n" ); document.write( "------------------ \n" ); document.write( "The slope of lines parallel have the same slope. \n" ); document.write( "The slope of lines perpendicular is the negative inverse, m = +1/3 \n" ); document.write( "---------------- \n" ); document.write( "Use y = mx + b and the point (1,2) to find b. \n" ); document.write( "2 = (1/3)*1 + b \n" ); document.write( "b = 5/3 \n" ); document.write( "The equation is y = (1/3)x + 5/3 (slope-intercept form) \n" ); document.write( "x - 3y = -5 (standard form) \n" ); document.write( "------------------------ \n" ); document.write( "For further assistance, or to check your work, email me via the thank you note or at moralloophole@aol.com\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |