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(Picture Provided) A line passes through the points
(6,5)
and
(2,2)

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

Picture Provided A line passes through the points 65 and 22 Select Yes or No to tell whether each equation describes this line class=

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only the top one is yes other 3 are no

Given that : A line passes through the points (6,5) and (2,2).

We need to select the forms of linear equations given:

First we need to find the slope between (6,5) and (2,2) points first.

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{2-5}{2-6} =\frac{3}{4}[/tex]

So, we got slope of the equation: 3/4.

Taking point (6,5) and slope 3/4.

Using point -slope form y-y1 =m(x-x1), we get

y-5 = 3/4 (x-6).

Taking point (2,2)  and slope 3/4, we get

y-2 = 3/4 (x-2).

Therefore, correct options are First and Fourth options.

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