Answer:
y = -3x-7
Step-by-step explanation:
3x+y=5
First put this in slope intercept form
Subtract 3x from each side
3x-3x+y=-3x+5
y = -3x+5
The slope is -3 and the y intercept is 5
Parallel lines have the same slope so our new line will have a slope of -3
It goes through the point (-1,-4)
Using slope intercept form
u = mx+b
y = -3x+b
Substituting the point into the equation to solve for b
-4 = -3(-1) +b
-4 = 3+b
-4-3 = b
b = -7
Using the slope and the y intercept
The line is y = -3x-7
