document.write( "Question 494790: Write the equation of the line that passes through (2, 4) and (1, –3) in slope-intercept form. \n" ); document.write( "
Algebra.Com's Answer #335796 by lwsshak3(11628) ![]() You can put this solution on YOUR website! Write the equation of the line that passes through (2, 4) and (1, –3) in slope-intercept form. \n" ); document.write( "** \n" ); document.write( "Standard form of an equation for a straight line: y=mx+b, m=slope, b=y-intercept \n" ); document.write( ".. \n" ); document.write( "Slope of given line=∆y/∆x=(4-(-3)/(2-1)=7/1=7 \n" ); document.write( "Equation: \n" ); document.write( "y=7x+b \n" ); document.write( "find b using one of given points (2,4) \n" ); document.write( "4=7*2+b \n" ); document.write( "b=4-14=-10 \n" ); document.write( "Equation: \n" ); document.write( "y=7x-10 \n" ); document.write( "see graph below as a visual check on answers \n" ); document.write( ".. \n" ); document.write( " |