Question

A line passes through the points (4,6) and (6,2)

Answer 1

Um i think it is yes,no,no,yes,yes,yes

Answer 2

Answer:

Option 2 and option 6 are correct which is $(y-6)=-2(x-4)$  and $(y-2)=-2(x-6)$  respectively.

Step-by-step explanation:

We have been given two points (4,6) and (6,2)

We have formula for equation of a line which is

$(y-y_1)=m(x-x_1)$

Where $m=\frac{y_2-y_1}{x_2-x_1}$

Here, ${x_1=4,y_1=6,x_2=6,y_2=2$

On substituting the values  we will get  $m=\frac{2-6}{6-4}=-2$

Now, substituting values in $(y-y_1)=m(x-x_1)$ we will get

$(y-6)=-2(x-4)$

If we choose  $x_1=6,y_1=2,x_2=4,y_2=6$ then substituting the values in $(y-y_1)=m(x-x_1)$ we will get

$(y-2)=-2(x-6)$

Therefore,option 2 and option 6 are correct.