Suppose y varies directly with x, and y = 14 when x = –4. What is the value of y when x = –6?

(1 point)
Responses

–21
–21

10
10

18
18

21Suppose y varies directly with x, and y = 14 when x = –4. What is the value of y when x = –6?
(1 point)
Responses

–21
–21

10
10

18
18

21

2 answers

To find the value of y when x = -6, we use the direct variation equation: y = kx.

From the information given, we know that y = 14 when x = -4. Plugging these values into the direct variation equation, we can find the value of k:

14 = k(-4)
Dividing both sides by -4: k = -14/-4 = 3.5

Now, we can use the value of k to find y when x = -6:

y = 3.5(-6) = -21

Therefore, the value of y when x = -6 is -21.
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