Answer;
The equation of the line is
3y = 4x + 4
Explanation;
Mathematically we can write the equation of a straight line in the form
y = mx + c
where m is the slope
Since the old line would parallel to the new line, then they have the same slope
This means that the slope of the new line will be 4/3
Now, we had yet slope and a point, we need to write the equation of the line
mathematically;
y- y1 = m(x - x1)
In this case m = 4/3, (x1,y1) = (5,-8)
Thus;
y+ 8 = 4/3(x-5)
y+ 8 = 4/3x -20/3
y = 4/3x -20/3 + 8
Multiply through by 3
3y = 4x -20 + 24
3y = 4x + 4
