# What is the slope intercept form of the line passing through #(-7,-1) # with a slope of #-1/4 #?

##### 1 Answer

Apr 29, 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=-1/4#

#rArry=-1/4x+blarrcolor(blue)"is the partial equation"#

#"to find b substitute "(-7,-1)" into the partial equation"#

#-1=7/4+brArrb=-4/4-7/4=-11/4#

#rArry=-1/4x-11/4larrcolor(red)"in slope-intercept form"#