document.write( "Question 146541: Please write the linear function for which f (3) =6 and f (-4) =2\r
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Algebra.Com's Answer #106975 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
When they give you:
\n" ); document.write( "f(3)=6 and f(-4)=2
\n" ); document.write( ".
\n" ); document.write( "'y' is defined as 'f(x)', therefore they gave you two points:
\n" ); document.write( "(x,y) = (3,6)
\n" ); document.write( "(x,y) = (-4,2)
\n" ); document.write( ".
\n" ); document.write( "Calculate the slope of the line from:
\n" ); document.write( "slope = m = (y2-y1)/(x2-x1)
\n" ); document.write( ".
\n" ); document.write( "slope = m = (y2-y1)/(x2-x1)
\n" ); document.write( "slope = m = (6-2)/(3-(-4))
\n" ); document.write( "slope = m = (4)/(3+4) = 4/7
\n" ); document.write( ".
\n" ); document.write( "Remember, the slope-intercept of a line is:
\n" ); document.write( "y = mx + b
\n" ); document.write( "plug in one (let's use (3,6)) of the two given points (doesn't matter which one) and the calculated slope and solve for b:
\n" ); document.write( "y = mx + b
\n" ); document.write( "6 = (4/7)(3) + b
\n" ); document.write( "42 = 12 + b
\n" ); document.write( "30 = b
\n" ); document.write( ".
\n" ); document.write( "Recapping, we found:
\n" ); document.write( "m = 4/7
\n" ); document.write( "b = 30
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\n" ); document.write( "Plug it all back into:
\n" ); document.write( "y = mx + b
\n" ); document.write( "y = (4/7)x + 30
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\n" ); document.write( "That's it, you're done.\r
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