document.write( "Question 790635: Suppose a line goes through the point (-2,4) and is parallel to the line passing through the points (-4,1) and (4,-3). Write the equation of the line. Determine the intercepts of the line and sketch the graph. \n" ); document.write( "
Algebra.Com's Answer #479230 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Suppose a line goes through the point (-2,4) and is parallel to the line passing through the points (-4,1) and (4,-3). Write the equation of the line. Determine the intercepts of the line and sketch the graph.
\n" ); document.write( "***
\n" ); document.write( "Equation of a line: y=mx+b, m=slope, b=y-intercept
\n" ); document.write( "For given problem:
\n" ); document.write( "slope,m=∆y/∆x=(y1-y2)/(x1-x2)=(-3-1)/4-(-4))=-4/8=-1/2
\n" ); document.write( "Equation: y=-x/2+b
\n" ); document.write( "solve for b using coordinates of given point (-2,4)
\n" ); document.write( "4=-(-2)/2+b
\n" ); document.write( "4=2/2+b
\n" ); document.write( "b=3
\n" ); document.write( "equation:
\n" ); document.write( "y=-x/2+3
\n" ); document.write( "y-intercept=b=3
\n" ); document.write( "..
\n" ); document.write( "x-intercept:
\n" ); document.write( "set y=0
\n" ); document.write( "-x/2+3=0
\n" ); document.write( "-x/2=-3
\n" ); document.write( "x=6\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "see graph below:
\n" ); document.write( "\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C-x%2F2%2B3%29+\" \n" ); document.write( "
\n" );