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

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

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

$m = \frac{2 - 6}{6 - 4} = - \frac{ - 4}{2} = - 2$

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