Question

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

Select Yes or No to tell whether each equation describes this line.

Answer 1

first is yes
Second is no
Third is no
Fourth is yes

Answer 2

ANSWER

Yes

No

No

Yes

Step-by-step explanation

The given line passes through the points,.

`(4,6) \: and \: (6,2)`

We need to determine the slope of this line using these two points.

The formula for finding the slope is


`m=(y_2-y_1)/(x_2-x_1)`


`m = (2 - 6)/(6 - 4) = - ( - 4)/(2) = - 2`

We can now use the formula


`y-y_1=m(x-x_1)`
in the slope intercept form.

If we use the point

`(4,6)`
the equation will be,


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

If we use the point,


`(6,2)`
we obtain,

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