# How do you find the equation of the line through (9,-12) with slope -1/2?

##### 1 Answer

Mar 16, 2018

#### Explanation:

#"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"#

#"here "m=-1/2#

#rArry=-1/2x+blarrcolor(blue)"is the partial equation"#

#"to find b substitute "(9,-12)" into the partial equation"#

#-12=-9/2+brArrb=-24/2+9/2=-15/2#

#rArry=-1/2x-15/2larrcolor(red)"in slope-intercept form"#