Slope Of A Line

We have,
and are the medians. So, and are the mid points of and respectively.

Coordinates of
and coordinates of
Now, slope of median
Also, slope of median
Now, & are perpendicular if

We are given the line , and we are asked to find the slopes of the lines that make an angle of 45° with this line. Step 1: Find the slope of the given line The slope of the given line is: Step 2: Use the formula for the angle between two lines The formula for the angle between two lines with slopes and is: Since the angle is 45°, we have : Solve for : Similarly, for the other line making an angle of 45°, we solve: Thus, the slopes are and . Thus, the correct answer is .