Question

How do you determine whether (6,2) is on the line y=1/2x+2

Answer 1

Answer:

If the point $(6,2)$ does satisfy the equation, $y = \frac{1}{2}x +2$, the point is on the line. Otherwise it's not.

Step-by-step explanation:

Points that are on the line actually satisfy the equations of their respective lines. If the point $(6,2)$ does satisfy the equation, $y = \frac{1}{2}x +2$, the point is on the line. Otherwise it's not.

Testing if $(6,2)$ is on the line, $y = \frac{1}{2}x +2$:

$y = \frac{1}{2}x +2 \\ 2 \stackrel{?}{=} \frac{1}{2}(6) +2 \\ 2 \stackrel{?}{=} 3 +2 \\ 2 \stackrel{?}{=} 3 +2 \\ 2 \stackrel{?}{=} 5 \\ 2 \neq 5$

The point $(6,2)$ does not satisfy the equation, $y = \frac{1}{2}x +2$, so the point is not on the line.

Answer 2

Answer:

Graph the line y=1/2x+2 then check the points.

Step-by-step explanation:

If I go on desmos, or just by hand and graph y=1/2x+2, I can see the points it goes through. Once I graph my equation, I will specifically type another coordinate "(6,2)" to see if it is directly in my line. For your equation, (6,2) is not in the line of y=1/2x+2.

I really hope this helps, ask anything else if needed.