document.write( "Question 67124: This would be so great if you were able to help me on my homework, I have a ton of questions i need help with but i know the limit is 4 so I'll pick the 4 hardest. Thank you in advance!\r
\n" ); document.write( "\n" ); document.write( "1.Write the following equation in slope-intercept form: 5x+2=3y\r
\n" ); document.write( "\n" ); document.write( "2.Find the slope of the equation: 5x+6y=30\r
\n" ); document.write( "\n" ); document.write( "3.Find the slope bewtween the points: (2,-5) and (-3,-7)\r
\n" ); document.write( "\n" ); document.write( "4.Find the slope of the line y = -6x - 3
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Algebra.Com's Answer #47737 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
1. Write in slope-intercept form: 5x+2 = 3y
\n" ); document.write( "The slope-intercept form of a linear equations is:
\n" ); document.write( "y = mx + b where m is the slope and b is the y-intercept. So, starting with your equation:
\n" ); document.write( "\"5x%2B2+=+3y\" Simply divide both sides by 3.
\n" ); document.write( "\"%285%2F3%29x+%2B+2%2F3+=+y\" or \"y+=+%285%2F3%29x+%2B+2%2F3\" Here, m = 5/3 and b = 2/3\r
\n" ); document.write( "\n" ); document.write( "2. Find the slope of 5x+6y = 30 First get this into the slope-intercept form: y = mx+b
\n" ); document.write( "\"5x%2B6y+=+30\" Subtract 5x from both sides.
\n" ); document.write( "\"6y+=+-5x%2B30\" Now divide both sides by 6.
\n" ); document.write( "\"y+=+-%285%2F6%29x+%2B+5\" Compare this with:
\n" ); document.write( "\"y+=+mx+%2B+b\" You can see that slope, m = -5/6\r
\n" ); document.write( "\n" ); document.write( "3. Find the slope between the points (2, -5) and (-3, -7)
\n" ); document.write( "You can use the formula for slope: \"m+=+%28y2-y1%29%2F%28x2-x1%29\" where: (2, -5) = (x1, y1) and (-3, -7) = (x2, y2)
\n" ); document.write( "\"m+=+%28-7-%28-5%29%29%2F%28-3-2%29\" Simplify.
\n" ); document.write( "\"m++=+%28-7%2B5%29%2F%28-5%29\"
\n" ); document.write( "\"m+=+%28-2%29%2F-5\"
\n" ); document.write( "\"m+=+2%2F5\" This is the slope!\r
\n" ); document.write( "\n" ); document.write( "4. Find the slope of the line: y = -6x-3 The equation is already in the slope-intercept form: y = mx+b so you can just read off the slope which is the m.
\n" ); document.write( "m = -6 This is the slope!
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