# What is the equation of a line that has a slope of #4# and goes through #(-4, -7)#?

##### 1 Answer

Apr 27, 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=4#

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

#"to find b substitute "(-4,-7)" into the partial equation"#

#-7=-16+brArrb=-7+16=9#

#rArry=4x+9larrcolor(red)"is the equation"#