document.write( "Question 1093523: What is the equation of the line that passes through the points (-1,1) and (4,7)? \n" ); document.write( "
Algebra.Com's Answer #708149 by Yanira_Sierra(1)\"\" \"About 
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Find the slope: \r
\n" ); document.write( "\n" ); document.write( "(-1,1) - stays the same
\n" ); document.write( "(-4,-7) - change the signs. -subtracting x values and y values\r
\n" ); document.write( "\n" ); document.write( "-5 , -6 add the numbers vertically. m(slope)= rise / run = -6/-5 = 6/5\r
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\n" ); document.write( "\n" ); document.write( "Choose a point from the original problem. (4,7). x=4 y=7 and m= 6/5\r
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\n" ); document.write( "\n" ); document.write( "Substitute all three values into the equation: y=mx+b. Then solve for b.
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\n" ); document.write( " y = m x + b
\n" ); document.write( " 7 =(6/5)(4) + b multiply the 6 and 4
\n" ); document.write( " 7 = 24/5 + b you get 24. Now multiply everything by 5.
\n" ); document.write( " 35 = 24 + b The fraction canceled.
\n" ); document.write( " 11 = b Subtract 24 on both sides\r
\n" ); document.write( "\n" ); document.write( "Last Step: Substitute b = 11 and m = 6/5 back into the equation : y = m x + b\r
\n" ); document.write( "\n" ); document.write( " y = 6/5 x + 11\r
\n" ); document.write( "\n" ); document.write( "Yay!!! We now know that the points (-1,1) and (4,7) pass through the line y = 6/5 x + 11.
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