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Answer:
[tex]y=-3x-8[/tex]
Step-by-step explanation:
slope-intercept form:
[tex]y=mx+b[/tex]
Start with the given equation, and to find the slope, convert it to slope-intercept form by solving for y.
[tex]3x+y=-5[/tex]
In this case, all you need to do is subtract 3x from both sides.
[tex]y=-3x-5[/tex]
Here, the slope is -3. The slope of a parallel line will also be -3.
Now, we have 3 known variables. We have the slope and the x and y of a known point. Use those 3 knowns to solve for the 1 unknown, the y-intercept.
[tex]y=mx+b\\-5=(-3)(-1)+b\\-5=3+b\\-8=b\\b=-8[/tex]
Finally, with the slope and the y-intercept, you can write the equation of the line:
[tex]y=-3x-8[/tex]