What is the slope intercept form of the line passing through #(2,-3) # with a slope of #-1/2 #?

1 Answer
Sep 19, 2016

#y=-1/2x-2#

Explanation:

The equation of a line in #color(blue)"slope-intercept form"# is

#color(red)(bar(ul(|color(white)(a/a)color(black)(y=mx+b)color(white)(a/a)|)))#
where m represents the slope and b, the y-intercept.

here the slope #=-1/2# so we can write the partial equation as

#y=-1/2x+b#

To find b, substitute the coordinates of the point (2 ,-3) into the partial equation.

#rArr(-1/2xx2)+b=-3#

#rArr-1+b=-3rArrb=-3+1=-2#

#rArry=-1/2x-2" is equation in slope-intercept form"#