If the slope of F (x) was multiplied by - 2/7 and the y-intercept was decreased by 7 to create a new fuction G (x) describe the transformation?

The function would do 3 things

1. flip horizontally, because of the negative applied to the slope

2. widen, because of a fractional slope between - 1 and 0 (-2/7 makes the rise shorter than the run, so the function widens by going 7 units out for every 2 units down)

3. shift down 7 units, because the initial y-intercept would be changed from, say, 8 to 1. this would bring the graph downwards by 7 units