Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis) - Parallel lines always have the same slope and different y-intercepts
<u>1) Determine the slope (m)</u>
Rearrange this equation into slope-intercept form (this will help us find the slope)
Subtract x from both sides
Divide both sides by -2
Now, we can identify clearly that the slope of the given line is 
since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of as well. Plug this into :
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (-6,-8)
Add 3 to both sides to isolate b
Therefore, the y-intercept is -5. Plug this back into :
I hope this helps!
<span>The correct
answer between all the choices given is the second choice, which is 16%. I am
hoping that this answer has satisfied your query and it will be able to help
you in your endeavor, and if you would like, feel free to ask another question.</span>
For lines to be parallel, they have to have the same slopes. For the equation given as Ax + By + C = 0, the slope is -A / B. Equating the slopes of the given equations of lines,
- (3 / -5) = - (2 / k)
The value of k is equal to -10/3.
