Line segment cd begins at (-1, 2) and ends at (6, 2). the segment is translated 4 units down and 2 units left. what is the length of line segment c'd'? (a.) 2 units (b.) 4 units (c.) 5 units (d.)7 units

Option D.

Step-by-step explanation:

It is given that line segment CD begins at (-1, 2) and ends at (6, 2).

The segment is translated 4 units down and 2 units left.

We know that translation is a rigid transformation. It means, after translation the size and shape of figure remains same.

       ... (i)

Using distance formula, the length of CD is

    ... (ii)

Using (i) and (ii), we get

Therefore, the correct option is D.

Part A: There is a linear correlation between the number of hours of sunlight that a plant receives and the height it grows.

Part B: The function that best fits the data is

Part C: Slope indicates the height of the plant and y-intercept represents the initial height of the plant before receiving sunlight.

Explanation:

Part A: Let us determine it using the slope formula,

Let us substitute any two coordinates and

To find the y-intercept, the value of y-intercept is the value of y when the value of x is equal to zero.

Thus, y-intercept is 4 (b=4)

Let us substitute these values in the slope-intercept formula,

Thus, there is a linear correlation between the number of hours of sunlight that a plant receives and the height it grows.

Part B:

The function that best fits the data is given by

The explanation for the function is provided above.

Part C:

The slope is

This means that the height of the plant increases 3 centimeters  per hour of a sunlight received.

The y-intercept represents the initial height of the plant before receiving sunlight.