Answer:
It does not form a linear equation.
Step-by-step explanation:
For this question, you should check that they all have the same gradient.
To work out the gradient, use [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].
Using the top 2 rows, this gives [tex]\frac{-1--3}{-2--6}[/tex], or [tex]\frac{2}{4}[/tex], simplified to [tex]\frac{1}{2}[/tex]. This means for every increase in x by 1, y increases by [tex]\frac{1}{2}[/tex].
Between the first 2 rows, x increases by 4 and y by 2 (half of 4), so it is true.
Between the second and third rows, x increases by 2 and y by 2 (which isn't half of 2). This is false, meaning this does not form a linear equation.
**This question involves solving linear equations using gradients, which you may want to revise. I'm always happy to help!
