Which equation represents a line that passes through the two points in the
table?
х
у
3
3
6
5
O A. y-3 = (x-3)
O B. y+3 = {(x+3)
OC. y-3--3
)
O D.y+3=E(x+3)

Answers

Answer 1
The answer Is: C because it’s a line that passss through the two points in the table
Answer 2

Line equation represents a line that passes through the two points  is

x-3=0

Given two points are (3,6) and (3,5)

Let say A=(3,6) and B=(3,5)

Formula for find out line equation using two points.

              [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

Slope can be denoted by m.

Slope formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

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

                         m=-1/0

Line equation can be rewritten as  [tex]y-y_1=m (x-x_1)[/tex]

Submit m in above equation  

             [tex]y-6=\frac{-1}{0} (x-3)[/tex]

Simplify it.

             (y-6)*0=-1(x-3)    

                   x-3=0    

Therefore , line equation represents a line that passes through the two points  is x-3=0    

To know more about , Line equation.

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