Question

Vladimir says that the equation of the line that passes through points (negative 5, negative 3) and (10, 9) is y = four-fifths x + 1. Robyn says that the line passes through the points (negative 10, negative 7) and (negative 15, negative 11). Who is correct?

Answer 1

Answer:

Vladimir and Robyn both are correct.

Step-by-step explanation:

Let us check whether the points (-5,-3) and (10,9) are on the line $y = \frac{4}{5}x + 1$ or not.

The equation of the straight line passing through the given points (-5,-3) ans (10,9) is $\frac{y - 9}{9 + 3} = \frac{x - 10}{10 + 5}$

⇒ 5(y - 9) = 4(x - 10)

⇒ 5y = 4x + 5

⇒  $y = \frac{4}{5}x + 1$ .............. (1)

So, Vladimir is correct.

Now, Robyn says that the line passes through the points (-10,-7) and (-15,-11).

Then, both of the points satisfy the equation (1).

Therefore, Vladimir and Robyn both are correct. (Answer)

Answer 2

Answer:

Step-by-step explanation:

(10, 9) is y = four-fifths x + 1. Robyn says that the line passes through the points (negative 10, negative 7) and (negative 15, negative 11).