The value of the function f(x) is -7 when x is 4 and -13 when x is -6. The value of the function g(x) is 17 when x is -3 and is -3 when x is 5. If p represents the slope of f(x) and q represents the slope of g(x) , what is the value of pq?(1 point) Responses 32 3 halves 23 2 thirds −23 negative 2 thirds −32 negative 3 halves
To find the slope of a function, we use the formula:
slope (m) = (y2 - y1) / (x2 - x1)
For f(x), the given points are: (4, -7) and (-6, -13)
Using the formula, the slope (p) of f(x) is:
p = (-13 - (-7)) / (-6 - 4)
p = (-13 + 7) / (-10)
p = -6 / -10
p = 3 / 5
For g(x), the given points are: (-3, 17) and (5, -3)
Using the formula, the slope (q) of g(x) is:
q = (-3 - 17) / (5 - (-3))
q = (-3 + 17) / (5 + 3)
q = 14 / 8
q = 7 / 4
To find the value of pq, we simply multiply p and q:
pq = (3/5) * (7/4)
pq = 21 / 20
Therefore, the value of pq is 21/20 or 2 and 1/20.