Question

Solve for the median of the triangle shown below (line RT). In your response, please show all process work and at the end of your solution, provide the answer in y=mx+b form.

a) y = 1/4x + 3
b) y = 3x - 3
c) y = 4x + 1
d) y = 2x + 2

Answer 1

The equation for the median line of the triangle in y=mx+b form is y = 0.09x + 35.25, which does not correspond to the answer options given in the initial question.

Step-by-step explanation:

To solve for the median of the triangle (line RT) and determine its equation in the form y=mx+b, we first need the slope (m) and the y-intercept (b). According to the information provided, the slope (m) is approximately 0.09. The y-intercept can be calculated using the formula b = (sum of the median y values) - m * (sum of the median x values) / 3.

The sum of the median x values is 206.5, and the sum of the median y values is 476. Plugging these values into the formula gives:

b = 476 - 0.09 * 206.5, which simplifies to b ≈ 35.25.

Thus, the equation for the median line in y=mx+b form is y = 0.09x + 35.25. This doesn't match with any of the options provided in the question (a, b, c, d).