Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k.

two lines labeled f of x and g of x. line f of x passes through points negative 4, 0 and negative 2, 2. line g of x passes through points negative 4, 0 and negative 2, negative 10.

-5
-1/5
1/5
5

k = -5

Step-by-step explanation:

The function f(x) passes through the points (-4,0) and (-2,2).

Therefore, the equation of the straight line is given by

⇒

⇒ y = x + 4

⇒ f(x) = x + 4 ......... (1)

Now, g(x) passes through the points (-4,0) and (-2,-10).

Then the equation will be

⇒

⇒ y = - 5x - 20 = - 5 (x + 4)

⇒ g(x) = -5 (x + 4) ....... (2)

Therefore, from equations (1) and (2) we get k = -5 (Answer)

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step-by-step explanation:

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.