The slope of all the given options are equal and it is equal to slope of given equation .
So, All of the above
Given
Equation of a given line is [tex]x+2y=6[/tex]
Lets find out slope m by writing the equation in y=mx+b form
[tex]x+2y=6\\2y=-x+6\\y=\frac{-1}{2}x+6[/tex]
The slope of the line is [tex]\frac{-1}{2}[/tex]
Now we find slope of each option using formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Lets pick two points from the graph to find out slope
Pick (0,3) and (6,0)
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{0-3}{6-0} =\frac{-1}{2}[/tex]
Now pick two points from option B to find slope
(-10,-3) and (0,-8)
[tex]m=\frac{-8+3}{0+10} =\frac{-1}{2}[/tex]
Now we consider the third option
[tex]y=\frac{-1}{2}x+2\\slope = \frac{-1}{2}[/tex]
Slope of all the options are same and it is equal to the slope of given equation
So, all the above
Learn more : brainly.com/question/2643177
