#"the equation of a line in "color(blue)"point-slope form"# is.
#•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"#
#"the equation of a line in "color(blue)"slope-intercept form"# is.
#•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(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))#
#"let "(x_1,y_1)=(2,7)" and "(x_2,y_2)=(-2,9)#
#rArrm=(9-7)/(-2-2)=2/(-4)=-1/2#
#"to obtain the point-slope equation"#
#"with "m=-1/2" and "(x_1,y_1)=(2,7)#
#y-7=-1/2(x-2)larrcolor(red)"in point-slope form"#
#"rearranging into slope-intercept form"#
#y-7=-1/2x+1#
#rArry=-1/2x+8larrcolor(red)" in slope-intercept form"#
