The equation of the line is y = 3x + 8
The equation is given as:
y = 3x - 5
A linear equation is represented as:
y = mx + b
Where m represents slope;
This means that:
m = 3
Let the slope of the required line be n.
Since the lines are parallel, then
n = m = 3
The linear equation is then calculated as:
y = n(x - x1) + y1
Where:
(x1,y1) = (-2,2)
This gives
y = 3(x +2) + 2
Expand
y = 3x + 8
Hence, the equation of the line is y = 3x + 8
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