Question

A linear function goes through the points (3,7) and (k,4). The slope is 3/2. What is the value of k?

Answer 1

The value of k is 1

Step-by-step explanation:

Given that a linear function goes through the points (3, 7) a nd (k, 4).

The slope of this line is given as:

`(4-7)/(k-3)`

which is the change in y divided by the change in x

The slope is given to be 3/2, therefore, we have:

`(4-7)/(k-3)=(3)/(2)`

We can solve for k from the above equation

`\begin{gathered} (-3)/(k-3)=(3)/(2) \\ \\ k-3=-3*(2)/(3) \\ \\ k-3=-2 \\ \text{Add 3 to both sides} \\ \\ k=-2+3 \\ =1 \end{gathered}`