# What is the slope intercept form of the line passing through #(4,-9) # with a slope of #5/4 #?

##### 1 Answer

Dec 20, 2015

#### Explanation:

The slope-intercept form of a line is written in the form:

#y=mx+b#

where:

Since we do not know the value of

#y=mx+b#

#-9=5/4(4)+b#

#-9=5/color(red)cancelcolor(black)4(color(red)cancelcolor(black)4)+b#

#-9=5+b#

#-14=b#

Now that you know all your values, rewrite the equation in slope-intercept form:

#y=5/4x-14#