Carlota wrote the equation y + 1 = 2 (x - 3) for the line passing through the points (-1, 3) and (2, 9). explain and correct her error.

For this case we have the following equation:

That can be rewritten in the form

Where:

So, we have:

Where:

is the slope

is the cut point

Carlota has the following points:

(-1, 3) and (2, 9)

To know if the line passes through these points, we must replace them in the equation and the equality must be fulfilled. So:

Point (-1, 3):

Substituting:

It's false, equality is not met. The point (-1, 3) does not go through the line.

The equation written by Carlota is erroneous, the procedure to follow is:

Given and, we find the slope:

We observe that the slope found by Carlota is the same. Let's see cut point "b". For this we substitute any of the points given in the equation:

Substituting (2,9) we have:

Thus, Carlota's error was at the cut-off point. The correct equation of the line that passes through the given points is

The correct equation of the line that passes through the given points is

Carlota's mistake was at the cutoff point

2/3

step-by-step explanation: