# What is the equation of the line with slope # m= 5/17 # that passes through # (17,23) #?

##### 1 Answer

Jan 18, 2016

# y = 5/17 x + 18 #

#### Explanation:

One of the forms of the equation of a straight line is :

y - b = m (x - a ).

Where m represents the slope and ( a , b ) , the coordinates of a point on the line.In this question m =

#5/17 , (a , b ) = (17 , 23 )# Substitute these values into equation :

y - 23 =

#5/17 ( x - 17 ) # multiply out brackets ( distributive law ) to obtain :

y - 23 =

# 5/17 x - 5 rArr y = 5/17 x + 18 #