#"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 start with 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,-1)" and "(x_2,y_2)=(8,-3)#
#m=(-3-(-1))/(8-5)=(-2)/3=-2/3#
#y=-2/3x+blarrcolor(blue)"is the partial equation"#
#"to find b substitute either of the 2 given points into"#
#"the partial equation"#
#"using "(8,-3)" then"#
#-3=-16/3+brArrb=-9/3+16/3=7/3#
#y=-2/3x+7/3larrcolor(red)"in slope-intercept form"#
#"multiply all terms by 3"#
#3y=-2x+7#
#2x+3y=7larrcolor(red)"in standard form"#
