Write an equation of the line passing through each of the following pairs of points. g (−6, −5), (−4, −3)

The require line is passing through the points and .

We can use the following formula to find the equation of the line passing through a pair of points:

.................equation (1)

Where 'm' is slope of the line which is defined as:

Now, lets say point is and point is .

We will calculate the slope of the line now:

So, the slope of the required line is 1.

Now, plugging the value of the slope in equation 1, we get:

Therefore, the equation of the line passing through the points and is .

To verify if the equation of line is correct or not, you can plug in any of the points in the equation and compare both the sides:

Lets plug in  (-6,-5) in the equation:

Hence, the equation of the line is correct.