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tekilochka [14]
3 years ago
8

The function g is defined by g(x)=ax−7, where a is a constant. Find a, if the graph of g passes through the point ( 1/3 ,−2).

Mathematics
1 answer:
Daniel [21]3 years ago
8 0

Answer:

a = 15

Step-by-step explanation:

The graph of function g(x) is described by g(x)=ax−7, or y = ax−7.

y = g(x)=ax−7 passes through (1/3, -2).  We can subst. -2 for y and 1/3 for x to determine the value of the coefficient a:

-2 = g(1/3) = a(1/3) - 7

Solve for a.  First, add 7 to both sides:  5 = a(1/3).

Next, multiply both sides by 3:  15 = a, or a = 15.

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