Question

Is this correct? If not can u show me how to do it

Answer 1

Given

`k(x+y)=2x-4`

Notice that it is the equation of a line.

Then, since it crosses (10,-2), set x=10 and y=-2 in the given equation, as shown below

`\begin{gathered} x=10,y=-2 \\ \Rightarrow k(10-2)=2*10-4 \\ \Rightarrow k(8)=20-4 \\ \Rightarrow k=(16)/(8)=2 \\ \Rightarrow k=2 \end{gathered}`

Thus, the answer is k=2.