document.write( "Question 515038: what are the slopes of these lines, and the slopes of lines parallel to them?:\r
\n" ); document.write( "\n" ); document.write( "1.) y = 2/3x - 7\r
\n" ); document.write( "\n" ); document.write( "2.) y - 4 = -8/17(x-3)\r
\n" ); document.write( "\n" ); document.write( "3.) x = 4y + 2\r
\n" ); document.write( "\n" ); document.write( "4.) the line through (2, 8) (-4, -7)
\n" ); document.write( "

Algebra.Com's Answer #343708 by Maths68(1474)\"\" \"About 
You can put this solution on YOUR website!
what are the slopes of these lines, and the slopes of lines parallel to them?:
\n" ); document.write( "=============================================
\n" ); document.write( "1.) y = 2/3x - 7
\n" ); document.write( "Compare the above equatoin with the Equation of the Stright line Standard form.
\n" ); document.write( "y=mx+b
\n" ); document.write( "Slope = m = 2/3
\n" ); document.write( "===============================================
\n" ); document.write( "2.) y - 4 = -8/17(x-3)
\n" ); document.write( "Rearrage the above euqation
\n" ); document.write( "y=-8/17(x-3)+4
\n" ); document.write( "y=-8/17(x)-(-8/17)(3)+4
\n" ); document.write( "y=-8/17(x)+(24/17)+4
\n" ); document.write( "y=-8/17(x)+(24+68)/17
\n" ); document.write( "y=-8/17(x)+92/17
\n" ); document.write( "Compare the above equation with the Equation of the Stright line Standard form.
\n" ); document.write( "y=mx+b
\n" ); document.write( "Slope=m=-8/17
\n" ); document.write( "============================================
\n" ); document.write( "3.) x = 4y + 2
\n" ); document.write( "Rearrage the equation
\n" ); document.write( "x-2=4y
\n" ); document.write( "(x-2)/4=4y/4
\n" ); document.write( "(x-2)/4=y
\n" ); document.write( "x/4-2/4=y
\n" ); document.write( "1/4(x)-1/2=y
\n" ); document.write( "y=1/4(x)-1/2
\n" ); document.write( "Compare the above equation with the Equation of the Stright line Standard form.
\n" ); document.write( "y=mx+b
\n" ); document.write( "Slope = m = 1/4
\n" ); document.write( "===========================================================================
\n" ); document.write( "4.) the line through (2, 8) (-4, -7)
\n" ); document.write( "Use equation of straight line point-slope form
\n" ); document.write( "m=y2-y1/x2-x1
\n" ); document.write( "m=-7-8/-4-2
\n" ); document.write( "m=-15/-6
\n" ); document.write( "m=5/2
\n" ); document.write( "Slope = m = 5/2\r
\n" ); document.write( "\n" ); document.write( "Since parallel lines have same slope, therefore lines parallel to them will have same slope.
\n" ); document.write( "
\n" );