Answer:
<h2>B. 5x + 3y = 0</h2>
Step-by-step explanation:
Parallel lines have the same slope.
The slope-intercept form of an equation of a line:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m - slope
b - y-intercept
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points A(-3, 0) and B(-6, 5). Substitute:
![m=\dfrac{5-0}{-6-(-3)}=\dfrac{5}{-3}=-\dfrac{5}{3}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B5-0%7D%7B-6-%28-3%29%7D%3D%5Cdfrac%7B5%7D%7B-3%7D%3D-%5Cdfrac%7B5%7D%7B3%7D)
The line passes through the origin, therefore the y-intercept is equal to 0.
Therefore we have the equation:
![y=-\dfrac{5}{3}x](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B5%7D%7B3%7Dx)
Convert to the standard form ![Ax+By=C](https://tex.z-dn.net/?f=Ax%2BBy%3DC)
<em>multiply both sides by 3</em>
<em>add 5x to both sides</em>
![5x+3y=0](https://tex.z-dn.net/?f=5x%2B3y%3D0)