#"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"#
#"obtain the equation first of all 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)=(-2,2)" and "(x_2,y_2)=(-5,5)#
#rArrm=(5-2)/(-5-(-2))=3/(-3)=-1#
#rArry=-x+blarrcolor(blue)"is the partial equation"#
#"to find b substitute either of the 2 given points into "#
#"the partial equation"#
#"using "(-2,2)" then"#
#2=2+brArrb=0#
#rArry=-xlarrcolor(blue)"in slope-intercept form"#
#rArrx+y=0larrcolor(red)"in standard form"#
