# What is the equation of the line with slope # m= -11/3 # that passes through # (13/15,-23/24) #?

##### 1 Answer

Mar 15, 2016

#### Explanation:

Recall that the general equation of a line is:

#color(blue)(|bar(ul(color(white)(a/a)y=mx+bcolor(white)(a/a)|)))# where:

#y=# y-coordinate

#m=# slope

#x=# x-coordinate

#b=# y-intercept

**Determining the Equation**

#y=mx+b#

#y=color(orange)(-11/3)x+b#

#color(teal)(-23/24)=color(orange)(-11/3)color(purple)((13/15))+b#

#-23/24=-143/45+b#

#b=799/360#

#color(green)(|bar(ul(color(white)(a/a)y=-11/3x+799/360color(white)(a/a)|)))#