Find an equation for the line. Write the equation in standard form.
-With slope of $- \frac { 2 } { 9 }$, through $( 3,5 )$
A) $9 x + 2 y = - 51$
B) $2 x + 9 y = 51$
C) $2 x - 9 y = 51$
D) $2 x + 9 y = - 51$

Question

Quizplus · Accepted Answer

The equation of a line with slope $m$ and passing through a point $(x_1, y_1)$ can be written using the point-slope form: $y - y_1 = m(x - x_1)$. Substituting $m = -\frac{2}{9}$ and $(x_1, y_1) = (3, 5)$, we get $y - 5 = -\frac{2}{9}(x - 3)$. Simplifying and converting to standard form $Ax + By = C$, we get $2x + 9y = 51$.

Find an Equation for the Line −29- \frac { 2 } { 9 }−92​

Find an Equation for the Line $- \frac { 2 } { 9 }$