Question

Which of the following relationships shows the negative correlation?4x + 2y = 82y – 4x = 84x – 2y = 8 3y - 5x = 8

Answer 1

Solution

A Negative correlation has a negative gradient.

The general equation of a line is given as: y = mx + c;

where m is the gradient.

If we rewrite 4x + 2y = 8 in the form y = mx + c,

$\begin{gathered} 2y=-4x+8 \\ \\ \Rightarrow y=-2x+4 \end{gathered}$

Clearly, the gradient is negative.

Therefore, 4x + 2y = 8 will have a negative correlation.