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.

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.