Question

Fill in the blanks of the equation from the given information.

The line goes through the points (10,2) and (6,8).
Y-8 = -_/_(x-6)
A. 1/2

B. 2/3

C. 3/2

D. 3/4

Answer 1

The missing slope value in the equation Y-8 = -_/_(x-6) is found by calculating the slope that passes through the points (10,2) and (6,8), which is -3/2, corresponding to choice C.

Step-by-step explanation:

To find the missing value in the equation provided, we need to calculate the slope of the line that passes through the points (10,2) and (6,8). The slope is determined using the formula (Y2 - Y1) / (X2 - X1). Substituting the given points into the formula yields (8 - 2) / (6 - 10), which simplifies to 6 / -4, or -3/2. Thus, the equation for the line should read Y - 8 = -3/2 (x - 6), which corresponds to choice C.