# What is the equation of a line that passes through #(2, —7)#, and has a slope of #3#?

##### 2 Answers

Apr 24, 2018

#### Explanation:

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

#•color(white)(x)y=mx+b#

#"where x is the slope and b the y-intercept"#

#"here "m=3#

#rArry=3x+blarrcolor(blue)"is the partial equation"#

#"to find b substitute "(2,-7)" into the partial equation"#

#-7=6+brArrb=-7-6=-13#

#rArry=3x-13larrcolor(red)"is the equation of line"#

Apr 24, 2018

#### Explanation:

Point:

Slope

The point - slope form equation is

So