Question

Determine D so the slope of CD is undefined if C and D are the points (D, -7) and (1, 2).

a. 0
b. 1
c. 2
d. none of these

Answer 1

To determine the value of D so that the slope of CD is undefined, we need to find the equation of the line passing through points C(1, 2) and D(D, -7) first. Plugging in the values of the points (1, 2) and (D, -7) into the formula, we get: (2 - (-7)) / (1 - D). The slope will be undefined when the denominator is zero. So, 1 - D = 0, which means D = 1.

Step-by-step explanation:

To determine the value of D so that the slope of CD is undefined, we need to find the equation of the line passing through points C(1, 2) and D(D, -7) first.

The formula for calculating slope is given by: slope = (y2 - y1) / (x2 - x1)

Plugging in the values of the points (1, 2) and (D, -7) into the formula, we get: (2 - (-7)) / (1 - D).

The slope will be undefined when the denominator is zero. So, 1 - D = 0, which means D = 1.

Therefore, the answer is D = 1.