#"the equation of a line in "color(blue)"standard form"# is.
#color(red)(bar(ul(|color(white)(2/2)color(black)(Ax+By=C)color(white)(2/2)|)))#
#"where A is a positive integer and B, C are integers"#
#"to begin obtain the equation in "color(blue)"slope-intercept form"#
#•color(white)(x)y=mx+b#
#"where m is the slope and b the y-intercept"#
#"to calculate m use the "color(blue)"gradient formula"#
#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#
#"let "(x_1,y_1)=(5,-5)" and "(x_2,y_2)=(7,-2)#
#rArrm=(-2-(-5))/(7-5)=3/2#
#rArry=3/2x+blarrcolor(blue)"is the partial equation"#
#"to find b substitute either of the 2 given points into"#
#"the partial equation"#
#"using "(7,-2)" then"#
#-2=21/2+brArrb=-4/2-21/2=-25/2#
#rArry=3/2x-25/2larrcolor(red)"in slope-intercept form"#
#"multiply all terms by 2"#
#rArr2y=3x-25#
#rArr3x-2y=25larrcolor(red)"in standard form"#
