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 $= \frac { 3 } { 4 } ;$ containing $( 0,4 )$
A) $- 3 x - 4 y = 16$
B) $- 3 x + 4 y = 16$
C) $- 3 x + 4 y = - 16$
D) $4 x - 3 y = - 16$

Question

Quizplus · Accepted Answer

The equation of a line with slope $m$ and passing through the point $(x_1, y_1)$ is given by $y - y_1 = m(x - x_1)$. Substituting $m = \frac{3}{4}$ and the point $(0, 4)$, we get $y - 4 = \frac{3}{4}(x - 0)$. Simplifying, $4y - 16 = 3x$, or $-3x + 4y = 16$, which matches option B.

Choose the One Alternative That Best Completes the Statement or Answers