document.write( "Question 206143: how do i graph the lines by using equations from x(-3,3) and how do i determine the gradient of y-intercept, showing the domain and range in eachcase A y=2x+1 \n" ); document.write( "
Algebra.Com's Answer #155984 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! The question is not specific, but reading between the lines, let's solve what we know \n" ); document.write( ". \n" ); document.write( "If base eqn is,,,,,y=2x+1,,,,slope is 2, and y intercept is 1 \n" ); document.write( ". \n" ); document.write( "a line parallel to this also has slope of 2. \n" ); document.write( ". \n" ); document.write( "to define y intercept, insert point ( -3,3 ) into eqn with same slope \n" ); document.write( ". \n" ); document.write( "y= 2x +b,,,,,(3) =2(-3) +b ,,,,,,b=9 (y intercept) \n" ); document.write( ". \n" ); document.write( "or new eqn is ,,,,,y=2x+9 \n" ); document.write( ". \n" ); document.write( "a line perpendicular to original, has slope = negative reciprocal \n" ); document.write( ". \n" ); document.write( "y= -1/2 x +b,,,,inserting (-3,3),,,(3) = (-1/2)(-3) +b,,,,and b= 1.5 \n" ); document.write( ". \n" ); document.write( "or new eqn is y=-1/2 x +1.5 \n" ); document.write( ". \n" ); document.write( "The Domain and Range of all lines is (- infinity, + infinity) \n" ); document.write( ". \n" ); document.write( "or ALL REAL NUMBERS \n" ); document.write( ". \n" ); document.write( "Points of theory are: y = mx +b, with m=slope, b= y intercept \n" ); document.write( ". \n" ); document.write( "parallel lines have m1=m2, but perpendicular lines have m2=-1/m1 \n" ); document.write( ". \n" ); document.write( "to consider a point, insert in equation and solve for b \n" ); document.write( ". \n" ); document.write( "Hopefully this helps, if not pls resubmit problem thanks\r \n" ); document.write( "\n" ); document.write( ". \n" ); document.write( " |