#"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"#
#"given x-itercept "=(-2,0)#
#"and y-intercept "=(0,7)#
#"we can establish the equation in "color(blue)"slope-intercept form"#
#•color(white)(x)y=mx+b#
#"where m represents the slope and b the y-intercept"#
#"to calculate m use the "color(blue)"gradient formula"#
#color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))#
#(x_1,y_1)=(-2,0)" and " (x_2,y_2)=(0,7)#
#rArrm=(7-0)/(0-(-2))=7/2#
#rArry=7/2x+7larrcolor(red)" in slope-intercept form"#
#"rearrange into standard form"#
#"multiply through by 2"#
#rArr2y=7x+14#
#rArr7x-2y=-14larrcolor(red)" in standard form"#
