Answer:
Both are correct.
Step-by-step explanation:
In the point (4,-2) and (4,-7), the x-coordinates are same. So, the distance between these points is the absolute difference between the y-coordinates of these points.

So, Laura is correct.
In the point (2,3) and (-9,3), the y-coordinates are same. So, the distance between these points is the absolute difference between the x-coordinates of these points.

So, Ryan is correct.
Hence, both are correct.
Formula for point-slope:

Plug in the values (1):

{Choice B}
Plug in the values (2):

{Choice C}
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[For (3) and (4) we need to solve for slope]
(3)
First, solve for slope.
Formula for slope:

Plug in values:

Slope:

Second, we must plug into point-slope form.
Formula for point-slope:

Plug in the values:

{Choice C}
(4)
First, solve for slope.
Formula for slope:

Plug in values:

Slope:

Second, we must plug into point-slope form.
Formula for point-slope:

Plug in the values:

{Choice D}
Can't see the figure, but the basic way to solve this problem is to use the formula for volume of a pyramid which is (length * width * height )/3. Slant height is just the square root of ((length/2)2 + height2) recognizing that there is a right triangle there. Since slant height increased by 4 cm when its height increased by 2cm, you know that the length/2 term had to increase by the square root of 12 (22+root(12)2) = 42=16. From there you can figure out the rest pretty readily.
Where is the figure?or is there not