Select the equation that contains the point (3, 6), and in which the slope equals 1.
y + 6 = x + 6
y – 6 = x – 3
y + 6 = 3x
y – 6 = –3x
answer will be B
standard eq of line y=mx+c m= slope
so writing eq (B) in this form y-6=x-3
Now put the values of coordinates and check if they satisfy the equation
put y= 6 , you get LHS= y-6 = 0
put x=3 , you get LHS = x-3 = 0
thus , B satisfies the equation …
Usually in such questions , direcly write in y=mx+c form check for which equations satisfy the slope(m) . And then put the coordinates to test the equation. With practice you can directly tell the answer by just seeing the options . .
ask for any doubts or if you want the question to be solved in a even simpler way