 Hello friends, let's discuss the following question. It says find the angle between the x-axis and the line joining the points 3 minus 1 and 4 minus 2. For this we need to know the slope of the line, joining the points say x1, y1 and x2, y2 is given by y2 minus y1 upon x2 minus x1. This is denoted by m and this is equal to tan theta, where theta is the angle made by the line with the positive direction of the x-axis. So this knowledge will work as the idea. Let us now proceed on with the solution. Given points are a3 minus 1 and b4 minus 2. Now the slope of the line joining the points 3 minus 1 and 4 minus 2 is given by minus 2 minus minus 1 upon 4 minus 3 and this is equal to minus 1. And slope of the line is tan theta that is the angle made by the line with the positive direction of the x-axis. Now we know that tan 45 degrees is 1 and since tan theta is equal to minus 1, so this implies tan theta is equal to tan 90 plus 45 degrees that means tan 135 degrees. So this implies theta is equal to 135 degrees. Hence the angle between the line joining these two points and x-axis is 135 degrees. So this completes the question. Hope you enjoyed the session. Goodbye and take care.