The new line is parallel to the given line and therefore will have the same gradiient
Hence the gradient of the new line is 4/7 too
using

In this case m = 4/7 and (x1,y1) = (-8,-6)
so substituting for x1 and y1 in the above equation

y +6 =4/7 (x +8)
y + 6 = 4/7x + (4/7 x8)
y + 6 = 4/7x + 32/7
y= 4/7x +32/7 -6

simplifying further
