document.write( "Question 946024: My daughter is needing help with Algebra. She is in the 8th Grade and in a Honors Algebra class. The question she is stuck on is: Which equation models a line with the same y-intercept but half the slope of the line y=6-8x?
\n" ); document.write( "A. y=-4x+3
\n" ); document.write( "B. y=6-4x
\n" ); document.write( "C. y=3-8x
\n" ); document.write( "D. y=-16x+6
\n" ); document.write( "

Algebra.Com's Answer #577094 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
\"%22B+.%22\"\"y=6-4x\"
\n" ); document.write( "The equation for a line that is not a \"vertical line\" is often given in the form
\n" ); document.write( "\"y=m%2Ax%2Bb\" where \"m\" and \"b\" are constants.
\n" ); document.write( "That form of the equation is called the slope-intercept form
\n" ); document.write( "\"y=6-8x\" is equivalent to \"y=-8x%2B6\"<-->\"y=%28-8%29x%2B6\" , which is written in the traditional slope-intercept form.
\n" ); document.write( "Slope is the number \"m\" multiplied times \"x\" .
\n" ); document.write( "In the case of \"y=6-8x\" the number is \"-8\" .
\n" ); document.write( "Half of that is
\n" ); document.write( "\"%281%2F2%29%2A%28-8%29=-4\" .
\n" ); document.write( "The other term, \"6\" is the y-intercept.
\n" ); document.write( "The slope-intercept form for a line with the same y-intercept but half the slope of the line \"y=6-8x\" is
\n" ); document.write( "\"y=%28-4%29x%2B6\" , which is equivalent to \"y=6-4x\"
\n" ); document.write( "
\n" );