Question

KWJ has vertices K 3,3 W 1,-5 and J -5,-1 find the equation of the median through J in slope-intercept form

Answer 1

The median through vertex J of triangle KWJ is a horizontal line at y = -1, which is the y-coordinate of both vertex J and the midpoint of the opposite side KW.

Step-by-step explanation:

To find the equation of the median through vertex J in slope-intercept form for triangle KWJ, we first need to find the midpoint of the opposite side KW. For vertices K (3,3) and W (1,-5), the midpoint M is given by:

• The x-coordinate of M is (3+1)/2 = 2.
• The y-coordinate of M is (3+(-5))/2 = -1.

Thus, the midpoint M is (2, -1).

The median through J will be the line connecting J (-5,-1) and M (2, -1). Since the y-coordinates of J and M are equal, the slope (m) of the median is 0, indicating the median is a horizontal line. Therefore, the equation of the median in slope-intercept form is simply y = -1, where -1 is the y-coordinate of both J and M.