Find an equation of the line satisfying the given conditions. Write the equation in standard form.
-Through (-3, -9); slope 5
A) x + 5y = -6
B) x - 5y = 6
C) 5x - y = 6
D) -5x + y = 6

Question

Quizplus · Accepted Answer

The equation of a line with slope $m$ and passing through a point $(x_1, y_1)$ can be written as $y - y_1 = m(x - x_1)$. Substituting $m = 5$, $x_1 = -3$, and $y_1 = -9$ gives $y + 9 = 5(x + 3)$. Simplifying this equation to standard form $Ax + By = C$ gives $-5x + y = 6$.

Find an Equation of the Line Satisfying the Given Conditions