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

Jan 18, 2016

$y = \frac{5}{17} x + 18$

#### 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 = $\frac{5}{17} , \left(a , b\right) = \left(17 , 23\right)$

Substitute these values into equation :

y - 23 = $\frac{5}{17} \left(x - 17\right)$

multiply out brackets ( distributive law ) to obtain :

y - 23 = $\frac{5}{17} x - 5 \Rightarrow y = \frac{5}{17} x + 18$