The line CD passes through the points C (2.-1) and D (1, 1). Which of the following represents the equation of the line in Point-Slope Form?*

The equation of the line in Point-Slope Form will be:

Also, check the attached graph below.

Step-by-step explanation:

Given the points

Determining the slope between the points C (2.-1) and D (1, 1).

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [1 - (-1)] / [1 - 2]

               = [1+1] / [-1]  

               = [2] / [-1]

               = -2                    

Thus, the slope of the line = m = -2

The point-slope form of the line equation is defined as

where

In our case:

substituting the values m = -2 and the point (x₁, y₁) = (2, -1) in the point-slope form of the line equation

Therefore, the equation of the line in Point-Slope Form will be:

Also, check the attached graph below.

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

answerthe vertex form

step-by-step explanation: