Answer:
m = -6
Step-by-step explanation:
Put this given equation into slope-intercept form:
y−15=−6(x+7) becomes y - 15 = -6x - 42.
Adding 15 to both sides results in y = -6x - 27,
and so the slope is -6. The y-intercept is -27, or (0, -27).
Consider for a moment building a tree with all possible choices. The first row would contain 8 books (each possible choice for the first book). Then, the second row would contain 7 books for each book in the first row (the choices possible for the second book). Otherwise, it would be 8*7. Following this principal, we continue to multiply down to 1. 8*7*6*5*4*3*2*1. This is also known as 8!, a factorial.
Finally, 8! = 40,320
Y - y1 = m(x-x1)
y - 7 = -3/2(x + 6)