Question

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

Answer 1

`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`