Answer:
Explanation:
Hi there!
What we need to know:
- 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 x is 0) - Parallel lines always have equal slopes
1) Determine the slope (m)
To do so, we must organize the given equation into slope-intercept form to identify the value in place of m.
Subtract 2x from both sides (isolate y)
Divide both sides by -1 (isolate y)
Now, from this equation, we can tell that the number in the place of m in
is 2. Because parallel lines have equal slopes, the slope of the line we're currently solving for would also be 2. Plug this slope into
:
2) Determine the y-intercept (b)
Plug in the given point (-3,-4) and solve for b
Add 6 to both sides to isolate b
Therefore, the y-intercept is 2. Plug this back into
:
I hope this helps!