Answer:
[tex]y = 2x + 7[/tex]
Step-by-step explanation:
The equation of a line is given by:
y = mx + b
Where
m is the slope
and b is the y-intercept
We know, parallel lines have EQUAL slopes, so the line we are looking for will also have a slope of "2".
[ note: y = 2x + 4, the slope is 2]
So, the new line will have equation:
y = 2x + b
Now, this passes through (-4,-1), so we can plug in x = -4 and y = -1 and find b:
y = 2x + b
-1 = 2(-4) + b
-1 = -8 + b
-1 + 8 = b
b = 7
So the equation of the line is:
y = 2x + 7
