Answer:
A
Step-by-step explanation:
Firstly, we need to understand that if two lines are parallel to each other, then their slope is equal
The general equation of a straight line can be represented by
y = mx + c
where m is slope and c is the y-intercept
Considering the line
3x + y = 5
y = 5-3x
Thus, the slope here is -3 and this is same as that of the line that passes through the point given
The equation of the given point looks like this;
y = c - mx
since our slope is negative
We need to get what c is, so this is the point the point comes in. We represent y by the y coordinate and x by the x coordinate
Thus:
-4 = c -3(-1)
-4 = c + 3
c = -4-3 = -7
The equation of the line is thus;
y = -3x - 7
