What is the equation of the line with slope  m= -13/3  that passes through  (-2/9,2/3) ?

Mar 9, 2018

Equation of the line is color(blue)(117x + 27y + 8 = 0

Explanation:

${x}_{1} = - \frac{2}{9} , {y}_{1} = \frac{2}{3} , m = - \frac{13}{3}$

Point slope form of equation is $y - {y}_{1} = m \left(x - {x}_{1}\right)$

$y - \frac{2}{3} = \left(- \frac{13}{3}\right) \left(x + \frac{2}{9}\right)$

$\frac{3 y - 2}{\cancel{3}} = \left(- \frac{13}{\cancel{3}}\right) \frac{9 x + 2}{9}$

$27 y - 18 = - 117 x - 26$

Equation of the line is color(blue)(117x + 27y + 8 = 0