document.write( "Question 84744: Write the equation of the line with slope –4 and y-intercept (0, 3). \n" ); document.write( "
Algebra.Com's Answer #61041 by bucky(2189)\"\" \"About 
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Given: slope = -4 and y-axis intercept is (0, 3).
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\n" ); document.write( "Problem: Write the equation.
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\n" ); document.write( "The form you are looking for is called the slope-intercept form of an equation. It is written as:
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\n" ); document.write( "\"y+=+mx+%2B+b\"
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\n" ); document.write( "and in this equation \"m\" [which is the multiplier of \"x\"] is the slope and \"b\", a constant,
\n" ); document.write( "is the value of y when x is zero. It is called the y-intercept because it is the value of y
\n" ); document.write( "where the graph of the equation crosses the y-axis.
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\n" ); document.write( "Start with the slope intercept form:
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\n" ); document.write( "\"y+=+mx+%2B+b\"
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\n" ); document.write( "Since m is the slope and the problem tells you that the slope is -4, you can just substitute
\n" ); document.write( "-4 for m and the equation becomes:
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\n" ); document.write( "\"y+=+-4x+%2B+b\"
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\n" ); document.write( "The problem also tells you that b, the value of y when x = 0, is +3. Substitute this into the
\n" ); document.write( "equation and you get:
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\n" ); document.write( "\"y+=+-4x+%2B+3\"
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\n" ); document.write( "That's the equation you were asked to find. Hope this explanation helps you to understand
\n" ); document.write( "the slope-intercept form of the equation of a straight line and what the numbers in that
\n" ); document.write( "form refer to.
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