6. The data in the graph show the average weight for boys based on age. a.) Use the coordinates of the given points to find the slope of the line. b.) Interpret the meaning of the slope in the context of this problem Average Weight for Boys by Age 100 80 -(10,74.5 (5,44.5) 10 11

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A:

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A: First we will find the equation of line that passes through the point (2,1) and slope m=4.

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A: The slope of line passing through the points x1,y1 and x2,y2 is:m=y2-y1x2-x1

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A: Slope of the line is  m = -56 Point A is 3 unit left of the point B i.e., x2-x1 = 3 units

Q: 4.) (4, -6) (4, 6)

A: Explanation of the answer is as follows

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A: The line passes through the points 0,20 and 20,0

Q: Ay 10 -10 8 6 10 10

A:

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Q: What is the slope of the line

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A: A graph is shown below- Clearly, the line passes through two points (8,0) and (0,16).

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Q: 1) The slope of a horizontal line is

A: Thanks for the question :)And your upvote will be really appreciable ;), as per guideline , one…

Q: ) Consider the line shown on the graph. y 40 36 32 28 24 20 16 12 8- 4- 2 4 6 8 10 12 14 16 18 20 22…

A: In the graph the line passes through the points:  (0, 20)  and  (4, 32)

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.