Answer :
If y=2 that means that your slope m=0. Therefore any value you substitute for x into the equation y=mx + b will give you the value y=2. This also means that 2 is equal to b, your y-intercept. If your slope is 0 then, you have a horizontal line at y=2, so any value of (x,2) will be a solution to this problem, because your y-value will ALWAYS be 2, because 0 multplied by any number will provide 0. So subsitute your values for m and b into the slope intercept equation, and you'll see y=2, no matter what x you decide to substitute:
y= mx + b
= 0x + 2
= 2
So if I choose x to equal 3, 6, or 5 and substitute them individually into the equation for x to find y, my solutions would always give y=2.
y= mx + b
y= 0(3) +2
y= 2
Do the same with 5 and 6 and your results should be:
(3,2)
(5,2)
(6,2)
y= mx + b
= 0x + 2
= 2
So if I choose x to equal 3, 6, or 5 and substitute them individually into the equation for x to find y, my solutions would always give y=2.
y= mx + b
y= 0(3) +2
y= 2
Do the same with 5 and 6 and your results should be:
(3,2)
(5,2)
(6,2)