Question

A line passes through the point (0, –4) and has a slope 3/2 of What is the equation of the line?
A.3x-2y=-8

B.6x+4y=-8

C. 2x+4y=-1

D.3x-2y=8

Answer 1

First, solve for point-slope form:
\[y-y_1=m(x-x_1)\]
Where m is the slope and (x1,y1) is the point it passes through.

Answer 2

\(\bf \begin{array}{lllll}
&x_1&y_1\\
&({\color{red}{ 0}}\quad ,&{\color{blue}{ -4}})\quad
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= \cfrac{3}{2}
\\ \quad \\

y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\
\qquad \uparrow\\
\textit{point-slope form}\)

Answer 3

well, or don't solve by "y" just set it in "standard form"

Answer 4

Your numbers confuse me