The slope of the graphed line is 2/3. Which formulas represent the line that is graphed? Check all that apply.
y-1=2/3(x - 2)
y - 2=2/3(x - 1)
y-4 =2/3(x – 4)
F(x) =2/3x+1/3
f(x) = 2/3x+4/3

second option

third option

fifth option.

Step-by-step explanation:

We have the slope of the line:

and we can see that the line passes through the points (1, 2) and (4, 4)

We can use the point slope equation:

first, we use the first point (1, 2) and we define and . Substituting these values along with the value of the slope:

  which is the second option

Now, using the second point (4, 4) and defining and , using again the point slope equation , we get:

  which is the third option

finally, we can solve the previous equation for y:

which is the fifth option.