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 21
To find the value of y when x = -6, we need to use the information that y varies directly with x.
If y varies directly with x, it means that the ratio of y to x is constant.
Let's find this constant of variation using the given information:
y = kx
Substituting the values:
14 = k(-4)
Simplifying this equation:
k = -14/-4
k = 7/2
Now we can use the value of k to find y when x = -6:
y = (7/2)(-6)
y = -21
Therefore, the value of y when x = -6 is -21.