#"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"#