document.write( "Question 274720: I need to find an equation of the line containing the given pair of points; (-3,-1) and (-9,-6). The equation of the line in the slope-intercept is y=?\r
\n" );
document.write( "\n" );
document.write( "m=y2-y1= -6-(-1)= -5
\n" );
document.write( " x2-x1 -9-(-3) -6
\n" );
document.write( "y-(-1)=m(x-x1)
\n" );
document.write( "y-(-1)=-5(x-(-3))
\n" );
document.write( " -6
\n" );
document.write( "y-(-1)=-5x-5
\n" );
document.write( " -6 2
\n" );
document.write( "y=-5 -3
\n" );
document.write( " 6x 2
\n" );
document.write( "Apparently I did this wrong somewhere and I am not sure what I did wrong. Can someone help me please. \n" );
document.write( "
Algebra.Com's Answer #200450 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! I need to find an equation of the line containing the given pair of points; \n" ); document.write( "(-3,-1) and (-9,-6). \n" ); document.write( "The equation of the line in the slope-intercept is y= mx + b \n" ); document.write( "------------------- \n" ); document.write( "To get the equation you only need to determine \"m\" and \"b\"; \n" ); document.write( "--- \n" ); document.write( "m= (-6--1)/(-9--3) = -5/-6 = 5/6 \n" ); document.write( "--------------------------------- \n" ); document.write( "Now solve for \"b\": \n" ); document.write( "You know m = 5/6 and you know y=-1 when x = -3: \n" ); document.write( "Using the form y = mx+b, solve for \"b: \n" ); document.write( "-1 = (5/6)(-3) + b \n" ); document.write( "-1 = -5/2 + b \n" ); document.write( "b = -1 + (5/2) \n" ); document.write( "b = 3/2 \n" ); document.write( "----------------- \n" ); document.write( "Write the equation: \n" ); document.write( "y = (5/6)x + (3/2) \n" ); document.write( "========================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |