Answer: 4y = 3x - 8.
Explanation:
From the equation of a line
y = mx + c, where m is the gradient and c is the y intercept.
From conditions for parallelism, for two lines to be parallel to each other, their gradients must be equal ie m1 = m2
Now since c = -2, the equation of the new line parallel to
4y = 3x + 7 will be, you should then find m1_from the given equation
Therefore, m1 = 3/4 and since the two line are parallel to each other , m2 = 3/4
Substitute for m2 in the new equation giving c = -2,
y = 3x/4 - 2
Multiply through by 4, the equation
4y = 3x - 8 which is the equation of the new line.