Answer:
An equation in standard form for the line is:

Step-by-step explanation:
Given the points
The slope between two points




Writing the equation in point-slope form
As the point-slope form of the line equation is defined by

Putting the point (-2, -1) and the slope m=1 in the line equation



Writing the equation in the standard form form
As we know that the equation in the standard form is

where x and y are variables and A, B and C are constants
so


Therefore, an equation in standard form for the line is:

Volume is a three-dimensional scalar quantity. The depth of the YMCA lap pool is 2 meters.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given that the following details about the YMCA lap pool:
- The volume of the pool = 1472m³
- The length of the pool = 36.8m
- The width of the pool = 20 m
Since the pool is in the space of a right rectangular prism, therefore, the volume of the prism will be the product of length, width and depth. Therefore, the volume of the pool can be written as,
The volume of the pool = Length × width × depth
1472m³ = 36.8m × 20 m × depth of the pool
Depth of the pool = (1472m³ ) / (36.8m × 20m)
= 2 meter
Hence, the depth of the YMCA lap pool is 2 meters.
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Answer:
f(4)=-2
Step-by-step explanation:
f(4)=-4+2=-2