#"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"#
#"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"#
#"rearrange "4x-8y=1" into this form"#
#-8y=-4x+1rArry=1/2x-1/8tom=1/2#
#"given a line with slope m then the slope of a line"#
#"perpendicular to it is "#
#•color(white)(x)m_(color(red)"perpendicular")=-1/m#
#rArrm_(color(red)"perpendicular")=-1/(1/2)=-2#
#rArry=-2x+blarrcolor(blue)"is the partial equation"#
#"to find b substitute "(1/2,-2/3)" into the partial"#
#"equation"#
#-2/3=-1+brArrb=-2/3+1=1/3#
#rArry=-2x+1/3larrcolor(red)"in slope-intercept form"#
#"multiply through by 3 to eliminate fraction"#
#rArr3y=-6x+1#
#rArr6x+3y=1larrcolor(red)"in standard form"#
