document.write( "Question 95728: Find the equation of the line that goes through the given point and has the given slope. Write the answer in slope-intercept form.
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Algebra.Com's Answer #69748 by bucky(2189)\"\" \"About 
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To solve this problem, you can start with the slope-intercept form of a linear equation. This
\n" ); document.write( "form is:
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\n" ); document.write( "y = mx + b
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\n" ); document.write( "where m is the slope and b is the value of y where the graph crosses the y-axis.
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\n" ); document.write( "In this problem you are told that the slope of the graph is -8. So in the slope-intercept
\n" ); document.write( "form you can replace m with -8. When you make that substitution, the equation becomes:
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\n" ); document.write( "y = -8x + b
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\n" ); document.write( "The problem tells you that the point (-1,-5) satisfies the equation. This means that the
\n" ); document.write( "equation is satisfied if x = -1 and y = -5. Substitute -1 for x and -5 for y to make the
\n" ); document.write( "equation become:
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\n" ); document.write( "-5 = -8(-1) + b
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\n" ); document.write( "Multiply on the right side and the equation and the equation becomes:
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\n" ); document.write( "-5 = +8 + b
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\n" ); document.write( "Subtract 8 from both sides to get rid of the 8 on the right side. This subtraction
\n" ); document.write( "makes the equation become:
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\n" ); document.write( "-13 = b
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\n" ); document.write( "Now that you know b is -13 and that m is -8, you can substitute these values into the
\n" ); document.write( "slope intercept form and the equation becomes:
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\n" ); document.write( "y = -8x - 13
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\n" ); document.write( "This is the equation that incorporates the information you were given and is in slope intercept
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\n" ); document.write( "Hope this helps you to understand the problem and how to work out the answer.
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