document.write( "Question 27178: 12. The equation y = 10x – 70 describes the amount of money a class of students might earn from candy bar sales. What are the slope and y-intercept of this line? \n" ); document.write( "
Algebra.Com's Answer #14771 by josmiceli(19441)\"\" \"About 
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When the equation has the form y = mx + b, the slope is m and the y intercept is b.
\n" ); document.write( "slope = 10
\n" ); document.write( "y intercept = -70
\n" ); document.write( "Note that the y intercept occurs when x = 0.
\n" ); document.write( "Make x = 0 in the equation to check.
\n" ); document.write( "You can verify that m is really the slope, too.
\n" ); document.write( "y = 10x - 70
\n" ); document.write( "Call a particular x and y that solve the eqation (x[1], y[1])
\n" ); document.write( "Call another x and y that solve it (x[2], y[2])
\n" ); document.write( "So now you can write
\n" ); document.write( "y[2] = 10x[2] - 70
\n" ); document.write( "y[1] = 10x[1] - 70
\n" ); document.write( "Now subtract the second equation from the first
\n" ); document.write( "y[2] - y[1] = 10(x[2] - x[1])
\n" ); document.write( "y[2] - y[1] / x[2] - x[1] = 10
\n" ); document.write( "This is the definition of slope, and it does equal 10 or the m in y = mx + b. \n" ); document.write( "
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