document.write( "Question 132721: 1# question: find the equation of the line, find the slope and y-intercept, plot the points and line.\r
\n" ); document.write( "\n" ); document.write( "1. (5,20), (15,5)\r
\n" ); document.write( "\n" ); document.write( "2. (14,4), (15,2)\r
\n" ); document.write( "\n" ); document.write( "2# question: find the slope and y-intercept, plot the line.\r
\n" ); document.write( "\n" ); document.write( "1. y= 6x + 3\r
\n" ); document.write( "\n" ); document.write( "2. y=2x + 10\r
\n" ); document.write( "\n" ); document.write( "3. y + 5 = x
\n" ); document.write( " _____
\n" ); document.write( " 4\r
\n" ); document.write( "\n" ); document.write( "4. y-10 = x
\n" ); document.write( " ____
\n" ); document.write( " -5\r
\n" ); document.write( "\n" ); document.write( "I heard about your site through my classmate. I appreciate if you could show me the steps all the way through.... Thanks again, Nancy A. Ignacio\r
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Algebra.Com's Answer #97049 by elima(1433)\"\" \"About 
You can put this solution on YOUR website!
1# question: find the equation of the line, find the slope and y-intercept, plot the points and line.
\n" ); document.write( "1. (5,20), (15,5)
\n" ); document.write( "2. (14,4), (15,2)
\n" ); document.write( "==============================
\n" ); document.write( "We first will find th slope;
\n" ); document.write( "\"s=%28y1-y2%29%2F%28x1-x2%29\"
\n" ); document.write( "\"s=%2820-5%29%2F%285-15%29=15%2F-10\"
\n" ); document.write( "\"s=-3%2F2\"
\n" ); document.write( "Now lets find y-intercept, which in the slope-intercept form y=mx+b, the b=y-intercept;m=slope
\n" ); document.write( "We take either one of the points, and plug them into the equation;
\n" ); document.write( "\"20=-%283%2F2%295%2Bb\", now we solve for b;
\n" ); document.write( "\"20=%28-15%2F2%29%2Bb\"
\n" ); document.write( "\"20%2B15%2F2=b\"
\n" ); document.write( "like denominators to add whole number with fraction;
\n" ); document.write( "\"%2840%2F2%29%2B%2815%2F2%29=b\"
\n" ); document.write( "\"55%2F2=b\"
\n" ); document.write( "\"44%281%2F2%29=b\"
\n" ); document.write( "So our equation will be;
\n" ); document.write( "\"y=-3%2F2x%2B44%281%2F2%29\"
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(14,4), (15,2)
\n" ); document.write( "\"s=%284-2%29%2F%2814-15%29\"
\n" ); document.write( "\"s=2%2F-1\"
\n" ); document.write( "\"y=-2x%2Bb\"
\n" ); document.write( "\"4=-2%2814%29%2Bb\"
\n" ); document.write( "\"4=-28%2Bb\"
\n" ); document.write( "\"4%2B28=b\"
\n" ); document.write( "\"b=32\"
\n" ); document.write( "So our equation is;
\n" ); document.write( "y=-2x+32
\n" ); document.write( "=======================================
\n" ); document.write( "2# question: find the slope and y-intercept, plot the line.
\n" ); document.write( "1. y= 6x + 3
\n" ); document.write( "2. y=2x + 10
\n" ); document.write( "3. y + 5 = x
\n" ); document.write( "------------------------
\n" ); document.write( "1. s=6, y-intercept=3
\n" ); document.write( "\"graph+%28400%2C400%2C+-12%2C12%2C-12%2C12%2C+6x%2B3%29\"
\n" ); document.write( "2. s=2 y-intercept=10
\n" ); document.write( "\"graph+%28300%2C300%2C+-8%2C8%2C-8%2C18%2C+2x%2B10%29\"
\n" ); document.write( "-----------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "3.\"%28+y+%2B+5%29%2F4+=+x+\"
\n" ); document.write( " Let's first put this in slope-intercept form;
\n" ); document.write( "Multiply each side by 4,
\n" ); document.write( "y+5=4x
\n" ); document.write( "then subtract 5 from each side;
\n" ); document.write( "y=4x-5
\n" ); document.write( "Now graph:
\n" ); document.write( "\"graph+%28300%2C300%2C+-10%2C10%2C-10%2C10%2C+4x-5%29\"
\n" ); document.write( "4. \"%28y-10%2F-5%29+=+x\"
\n" ); document.write( " Let's do the same here;
\n" ); document.write( "multiply each side by -5;
\n" ); document.write( "y-10=-5x
\n" ); document.write( "subtract 10 from each side;
\n" ); document.write( "y=-5x+10
\n" ); document.write( "\"graph+%28300%2C300%2C+-10%2C12%2C-10%2C12%2C+-5x%2B10%29\"
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\n" ); document.write( ":)
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