Question

Triangle abc has the following points: a (-2,-2), b (4,4), c (16,-4). Use these points to write the equation of the line containing the median that passes through point c in slope-intercept form.

Answer 1

To write the equation of the line containing the median that passes through point C in slope-intercept form, find the slope and y-intercept of the median-median line. The equation of the line is y = 6.9x - 316.3.

Step-by-step explanation:

To write the equation of the line containing the median that passes through point C in slope-intercept form, we need to find the slope and y-intercept of the median-median line.

The ordered pairs for the median values are (66.5, 143), (69, 159), and (71, 174). The slope can be calculated using the formula m = (y2 - y1)/(x2 - x1), which gives us a slope of 6.9.

Using the formula y = mx + b, where m is the slope and b is the y-intercept, we can substitute the slope and the sum of the median x values divided by three into the formula to find the y-intercept. Simplifying the equation gives the final equation of the line as y = 6.9x - 316.3.