document.write( "Question 568796: What is the slope of each line that has the description given:
\n" ); document.write( "y = 3/4x + 7
\n" ); document.write( "2x + 4y = 8
\n" ); document.write( "5.1476x + 5.1476 = 15
\n" ); document.write( "y - 3 = 7/13 (x-4)
\n" ); document.write( "y - 7.3591 = 7/13 (x-4.0856) \n" ); document.write( "

Algebra.Com's Answer #367147 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"y+=%283%2F4%29x+%2B+7\"$ is the equation of a line in slope-intercept form
\n" ); document.write( "That form starts with \"y=\", has the y-intercept for a constant/independent term, and has the slope for coefficient of the $\"x\"$ . The slope is $\"3%2F4\"$ in this case.
\n" ); document.write( " $\"2x+%2B+4y+=+8\"$
\n" ); document.write( "Solving for $\"y\"$ , we get the slope intercept form
\n" ); document.write( " $\"2x+%2B+4y+=+8\"$ --> $\"2x+%2B+4y+-2x+=+8-2x\"$ --> $\"4y=-2x%2B8\"$ --> $\"4y%2F4=%28-2x%2B8%29%2F4\"$ --> $\"y=-2x%2F4%2B8%2F4\"$ --> $\"y=-%281%2F2%29x%2B2\"$
\n" ); document.write( "The slope is $\"-1%2F2\"$
\n" ); document.write( " $\"5.1476x+%2B+5.1476+=+15\"$ I suspect a typo, but if it was really written like that, it is really
\n" ); document.write( " $\"5.1476x+%2B+5.1476+=+15\"$ --> $\"5.1476x+=+15-5.1476+\"$ --> $\"5.1476x=9.8524+\"$ --> $\"x=9.8524%2F5.1476\"$
\n" ); document.write( "Without doing that division we see that $\"x\"$ is constant, while $\"y\"$ could be anything. There is no slope. The slope is undefined, and the line is a vertical line.
\n" ); document.write( " $\"y+-+3+=+%287%2F13%29%28x-4%29\"$ is the equation in point-slope form of the line with slope $\"7%2F13\"$ that passes through the point (4,3).
\n" ); document.write( " $\"y+-+7.3591+=+%287%2F13%29%28x-4.0856%29\"$ is the equation in point-slope form of the line with slope $\"7%2F13\"$ that passes through the point (4.0856,7.3591). \n" ); document.write( "

\n" );