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Elenna [48]
3 years ago
12

What is the slope of the line (9,1) and (-3,-7)

Mathematics
2 answers:
Grace [21]3 years ago
8 0
It’s is 2/3 because Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:

A line is increasing, and goes upwards from left to right when m > 0
A line is decreasing, and goes downwards from left to right when m < 0
A line has a constant slope, and is horizontal when m = 0
A vertical line has an undefined slope, since it would result in a fraction with 0 as the denominator. Refer to the equation provided below.
Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m =
y2 - y1
x2 - x1
In the equation above, y2 - y1 = Δy, or vertical change, while x2 - x1 = Δx, or horizontal change, as shown in the graph provided. It can also be seen that Δx and Δy are line segments that form a right triangle with hypotenuse d, with d being the distance between the points (x1, y1) and (x2, y2). Since Δx and Δy form a right triangle, it is possible to calculate d using the Pythagorean theorem. Refer to the Triangle Calculator for more detail on the Pythagorean theorem as well as how to calculate the angle of incline θ provided in the calculator above. Briefly:

d = √(x2 - x1)2 + (y2 - y1)2

The above equation is the Pythagorean theorem at its root, where the hypotenuse d has already been solved for, and the other two sides of the triangle are determined by subtracting the two x and y values given by two points. Given two points, it is possible to find θ using the following equation:

m = tan(θ)

Given the points (3,4) and (6,8) find the slope of the line, the distance between the two points, and the angle of incline:

m =
8 - 4
6 - 3
=
4
3
d = √(6 - 3)2 + (8 - 4)2 = 5

4
3
= tan(θ)
θ = tan-1(4/3) = 63.435°

While this is beyond the scope of this calculator, aside from its basic linear use, the concept of a slope is important in differential calculus. For non-linear functions, the rate of change of a curve varies, and the derivative of a function at a given point is the rate of change of the function, represented by the slope of the line tangent to the curve at that point.

kifflom [539]3 years ago
6 0

Answer:

2/3

Step-by-step explanation:

A-P-E-X

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If u want u can answer 26 and 27 but if not just answer 26
xxTIMURxx [149]

26 is c

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Find the slope of the line that passes through (10,8) and (9,13)
Scilla [17]

Se usa está formula

m= pendiente

m=Y2-Y1/X2-X1

Resolución

13-8/9-10= 5/-1= -5

R=-5

3 0
3 years ago
Rosa believes she can use a division expression to find the cost per pound of ground beef when 1 pound sells for $4. Which state
DiKsa [7]

Answer:

Rosa is correct in using a division expression because the term "per" implies the quotient of the quantities before and after that word.

Step-by-step explanation:

Given that

1 pound of ground beef sells for $4.

To find the cost per pound:

We need to divide the cost with the number of pounds.

i.e.

\text{Cost per pound = }\dfrac{\text{Total Cost}}{\text{Number of pounds}}

If 'Number of pounds' = 1, then cost per pound = Total Cost

Therefore, the above division expression can be used to find the Cost pound.

Putting the values given to find the 'Cost per pound':

\text{Cost per pound = }\dfrac{\$4}{1} = \$4

Therefore, Rosa's belief is correct that, a division expression can be used.

The correct answer is:

Rosa is correct in using a division expression because the term "per" implies the quotient of the quantities before and after that word.

6 0
3 years ago
Read 2 more answers
Help Please!
steposvetlana [31]

Answer:

The answer to this question is x=2

8 0
3 years ago
What is the midpoint of the x-Intersepts of f(x)= (x-4)(x+4)
taurus [48]

Answer:

x=0

Step-by-step explanation:

Setting f(x)= (x-4)(x+4) = to 0 and solving for x produces the two x-intercepts (not Intersepts) of the function:  They are 4 and -4.

The midpoint between these two intercepts is 0.

7 0
3 years ago
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