document.write( "Question 185786: I need help writing an equation for a line given the y intercept of -4 and a point on -2 and 5. \n" ); document.write( "
Algebra.Com's Answer #139330 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
I need help writing an equation for a line given the y intercept of -4 and a point on -2 and 5.
\n" ); document.write( ".
\n" ); document.write( "I'll assume the point you want to cross is at (x,y) = (-2,5)
\n" ); document.write( "The other point is at the y-intercept at (0,-4)
\n" ); document.write( ".
\n" ); document.write( "Calculating the slope (m):
\n" ); document.write( "m = (y2-y1)/(x2-x1)
\n" ); document.write( "m = (5-(-4))/(-2-0)
\n" ); document.write( "m = (5+4)/(-2-0)
\n" ); document.write( "m = 9/-2
\n" ); document.write( "m = -9/2
\n" ); document.write( ".
\n" ); document.write( "Now, we plug in one point, say (-2,5), and the slope of -9/2 into the \"point-slope\" form of a line:
\n" ); document.write( "y-y1 = m(x-x1)
\n" ); document.write( "y-5 = (-9/2)(x-(-2))
\n" ); document.write( "y-5 = (-9/2)(x+2)
\n" ); document.write( "y-5 = (-9/2)x + (-9/2)2
\n" ); document.write( "y-5 = (-9/2)x + (-9)
\n" ); document.write( "y-5 = (-9/2)x - 9
\n" ); document.write( "y = (-9/2)x - 4 (this is what they're looking for) \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );