Choose the one alternative that best completes the statement or answers the question.
Find the general form of the equation for the line with the given properties.
-Slope $= - \frac { 3 } { 7 } ;$ containing the point $( 5,3 )$
A) $7 x + 3 y = - 36$
B) $3 x + 7 y = 36$
C) $3 x - 7 y = 36$
D) $3 x + 7 y = - 36$

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 $m = -\frac{3}{7}$, $x_1 = 5$, and $y_1 = 3$ gives $y - 3 = -\frac{3}{7}(x - 5)$. Multiplying both sides by 7 to clear the fraction and rearrange to the general form yields $3x + 7y = 36$.

Choose the One Alternative That Best Completes the Statement or Answers