document.write( "Question 115428: Use the slope-intercept form of the linear equation to write an equation of the line with given slope and y-intercept.\r
\n" ); document.write( "\n" ); document.write( "Slope -9/8; y-intercept (0,69/8) \n" ); document.write( "
Algebra.Com's Answer #84096 by bucky(2189)\"\" \"About 
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The slope intercept form of a linear equation is given by the relationship:
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\n" ); document.write( "y = mx + b
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\n" ); document.write( "in which m ... the multiplier of x ... is the slope of the graph and b is a constant that
\n" ); document.write( "is the value on the y-axis where the graph crosses the y-axis.
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\n" ); document.write( "You are told that the slope is -9/8. That means that m = -9/8. Substitute that value into
\n" ); document.write( "the slope intercept form and you have:
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\n" ); document.write( "y = (-9/8)x + b
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\n" ); document.write( "You are also told that the y-intercept is (0, 69/8). This means that the graph crosses the
\n" ); document.write( "y-axis at the value +69/8. [The fact that the corresponding value of x is zero just means
\n" ); document.write( "that +69/8 is the value on the y-axis. Any point in which x = 0 is on the y-axis.]
\n" ); document.write( "So now you can substitute +69/8 for b and the slope intercept form for this problem becomes:
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\n" ); document.write( "y = (-9/8)x + 69/8
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\n" ); document.write( "Hope this helps to clarify for you the meaning of the slope-intercept form of a linear equation.
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