document.write( "Question 201352: 1: equation: x-4y=6
\n" ); document.write( "find x if y = 1/4
\n" ); document.write( "find y if x = -2
\n" ); document.write( "present the solutions as ordered pairs.\r
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\n" ); document.write( "\n" ); document.write( "2: find the slop and the y-intercept of the line represented by the equation.
\n" ); document.write( "7x + y = 8\r
\n" ); document.write( "\n" ); document.write( "I am having trouble with these, could someone please help me. Thank you for the help! ;)
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Algebra.Com's Answer #151564 by vleith(2983)\"\" \"About 
You can put this solution on YOUR website!
1) You are given the equation for a line. \"x-4y=6\"
\n" ); document.write( "Every point on a line is in the form (x , y).
\n" ); document.write( "You are given a y value \"y+=+1%2F4\" and asked to find the x value that results in a point on the given line
\n" ); document.write( "So, Substitute the given value for y into the given equation and then solve for x
\n" ); document.write( "\"x-4y=6\"
\n" ); document.write( "\"x-4%2A%281%2F4%29=6\"
\n" ); document.write( "\"x-1=6\"
\n" ); document.write( "\"x+=+7\"
\n" ); document.write( "So one point is (7, 1/4)\r
\n" ); document.write( "\n" ); document.write( "Next you are given an x value \"x+=+-2\" and asked to find the y value that results in a point on the given line.
\n" ); document.write( "\"x-4y=6\"
\n" ); document.write( "\"-2+-4y+=+6\"
\n" ); document.write( "\"-4y+=+8\"
\n" ); document.write( "\"y+=+-2\"
\n" ); document.write( "So another point is given by (-2, -2)\r
\n" ); document.write( "\n" ); document.write( "2)\"7x+%2B+y+=+8\"
\n" ); document.write( "You are asked to find the slope and the y intercept. One form of the equation for a line is called the slope/intercept form. It is in the form \"y+=+mx+%2B+b\"
\n" ); document.write( "where m is the slope and b is the y intercept. So all we need to do is transform the given equation into the slope intercept form
\n" ); document.write( "\"7x+%2B+y+=+8\"
\n" ); document.write( "\"y+=+-7x+%2B+8\"
\n" ); document.write( "which is in the correct form
\n" ); document.write( "m=-7 (slope is -7)
\n" ); document.write( "b is 8. So the y intercept is the point (0,8)
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