Answer:
[tex]y=x[/tex]
Step-by-step explanation:
We will use slope-intercept form:
[tex]y=mx+b[/tex]
Where [tex]m=[/tex]slope and [tex]b =[/tex]y-intercept
To find the slope we use the slope formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
We plug in the coordinates getting:
[tex]\frac{6-2}{6-2} =\frac{4}{4} = 1[/tex]
So we have a slope of 1:
[tex]y=(1)x+b[/tex]
If we look at the answer choice we see that only one of them has a slope of 1 so the equation is:
[tex]y =x[/tex]
