#"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 in "color(blue)"point-slope form"#
#•color(white)(x)y-y_1=m(x-x_1)#
#"where m is the slope and "(x_1,y_1)" a point on the line"#
#"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)=(-7,8)" and "(x_2,y_2)=(0,-8)#
#rArrm=(-8-8)/(0-(-7))=(-16)/7=-16/7#
#"using "m=-16/7" and "(x_1,y_1)=(-7,8)" then"#
#y-8=-16/7(x-(-7))#
#rArry-8=-16/7(x+7)larrcolor(red)"in point-slope form"#
#"distribute and rearrange"#
#y-8=-16/7x-16#
#"multiply all terms by 7"#
#7y-56=-16x-112#
#rArr16x+7y=-56larrcolor(red)"in standard form"#
