Question

Which points are NOT on the graph of the equation: y = x – 6A. (10, -4)B. (-4, -10)C. (1,-5)D. (6, 12)

Answer 1

Given:

$y=x-6$

Find-:

The point not on the graph

Explanation:

$y=x-6$

If any point on the graph then it's satisfied the equation then check all point

(A)

$(10,-4)=(x,y)$

The put the x is 10 if y is -4 then is point on the graph or NOT

$\begin{gathered} y=x-6 \\ \\ x=10 \\ \\ y=10-6 \\ \\ y=4 \end{gathered}$

So point (10,-4) NOT on the graph

(B)

Check for point (-4,-10) then,

$\begin{gathered} y=x-6 \\ \\ x=-4 \\ \\ y=-4-6 \\ \\ y=-10 \end{gathered}$

So point (-4,-10) on the graph

(c)

$\begin{gathered} y=x-6 \\ \\ x=1 \\ \\ y=1-6 \\ \\ y=-5 \end{gathered}$

So point ( 1, -5) on the graph

(d)

$\begin{gathered} y=x-6 \\ \\ x=6 \\ \\ y=6-6 \\ \\ y=0 \end{gathered}$

So point ( 6, 12 ) NOT on the graph