# What is the equation of the line with slope  m= 9/14  that passes through  (-3,1) ?

Feb 16, 2016

14y - 9x -41 = 0

#### Explanation:

One form of the equation of a straight line is

y - b = m(x - a ) , where m represents the gradient and (a , b ) is a point on the line.
Here m and (a , b ) = (-3 . 1 ) are known. Substitute into equation.

$y - 1 = \frac{9}{14} \left(x + 3\right)$

multiply both sides by 14 to eliminate fraction.

hence: 14y - 14 = 9x + 27

finally , 14y - 9x - 41 = 0