What is the slope intercept form of the line passing through #(6,-1) # with a slope of #-5/6 #?
1 Answer
May 24, 2017
Explanation:
#"the equation of a line in "color(blue)"slope-intercept form"# is.
#color(red)(bar(ul(|color(white)(2/2)color(black)(y=mx+b)color(white)(2/2)|)))#
where m represents the slope and b, the y-intercept.
#"here "m=-5/6#
#rArry=-5/6x+blarr" partial equation"#
#"to find b, substitute " (6,-1)" into the partial equation"#
#-1=(-5/6xx6)+b#
#rArrb=-1+5=4#
#rArry=-5/6x+4larrcolor(red)" in slope-intercept form"#
