Answer:
The final option is correct.
Explanation:
This question seems like it has to do with slope, or how the line moves up and down as it moves to the right. You can think of slope like the angle of the line looking from the left.
Slope equals rise over run =
Rise is how the lines height changes, which you can find by taking the y coordinate, the number on the right of the parentheses (x,y), of one of the points and subtracting it from the other points y coordinate.
For example for the first line of points, 5 - 9 = -4
Now we still need to find the run which can be found by the same method except with the x coordinates.
So 1 - 8 = -7
And now together in rise over run,
, which is not equivalent to 2 thirds, so the first option would be incorrect.
One last thing to note is the formula
, Here y1 and x1 are coordinates from the same point and y2 and x2 are coordinates for some other point, it does not matter which point you choose to subtract from the other, as long as you keep it consistent between the x and y.
I won't write out the others but the final is the correct answer.
(1,5) & (-2,3)
If we let (1,5) = (x1, y1)
