1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ludmilka [50]
2 years ago
5

Find the slope of the line y=9/1x

Mathematics
1 answer:
sesenic [268]2 years ago
7 0

Answer:

Step-by-step explanation:

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

) = 53.13°

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.

You might be interested in
Which is the graph of f(x)= square root of x
insens350 [35]
Hello!

The answer for f(x) = sqrt x is the image below. It is neither of these, so check to see if you have more answer choices. (Just make sure to pay attention to the x- and y-values that the graph is plotted on below)

I hope this helps :))

4 0
3 years ago
What is the least common multiple of 31, 28, and 14?
WINSTONCH [101]

<u>⇨ By prime factorization method:</u>

\begin{array}{r | l}{\sf{2 & {\sf14,28,31} \\\cline{2-2} {\sf2 & {\sf7,14,31 \\\cline{2-2} {\sf7 & {\sf7,7,31 \\\cline{2-2} {\sf31 & {\sf1,1,31 \\\cline{2-2} & {\sf1,1,1\end{array}

{\sf{LCM\: = \:2 \:x\: 2 \:x\: 7 \:x\: 31}}\\\\{\sf{LCM \:= \:868}}\\}\\{\sf{Therefore,}}\\\\{\sf{LCM\:(14,\: 28,\: 31)\: = \:868

{\boxed{\sf{LCM\:=\:868}}

5 0
2 years ago
If f(x) = |x – 2| then find f(-3).​
MArishka [77]

Answer:

5

Step-by-step explanation:

f(x) = |x – 2|

f(3) = |-3 - 2| = |-5| = 5

8 0
2 years ago
X = {(2,3), (2, 4), (2,5), (2, 6))<br> The domain of x is
wolverine [178]

Answer:

The answer of this equation is {2,2,2,2}

Step-by-step explanation:

the number on the left is the x value which is the domain

5 0
3 years ago
Which constant number would be an to both sides of the equation rn order to complete the square for the quadratic function 1=x^2
AnnZ [28]

Answer:

k = 9

Step-by-step explanation:

Given

1= x^2 - 6x

Required

The perfect number

The coefficient c of x in the above equation is:

c = -6

Divide by 2

c/2 = -3

Square both sides

(c/2)^2 = 9

Hence, the constant to add is:

k = 9

8 0
2 years ago
Other questions:
  • If $.30 out of every one dollar goes to taxes and the rest is net income what is the ratio of taxes to net income
    7·1 answer
  • The base of a rectangular prism has a length of 13 inches and a width of 1over2. The volume of the prism is less than 65 cubic i
    8·1 answer
  • (2 - 3)4(4) - 9 ÷ 3.
    5·2 answers
  • Represent 3/4 on the number line<br><br> PLEASE ANSWER.......I HAVE TO ANSWER NOW.....
    5·1 answer
  • Mr. Jones has $410,000 in a retirement account that earns 3.85% simple interest each year. Find the amount of interest earned by
    15·1 answer
  • Solve and show your work. 3(x-4) = 12x
    14·2 answers
  • 8. On a number line, which is closest to zero:
    9·1 answer
  • Replace the * with a monomial so that the trinomial may be represented by a square of a binomial:
    15·1 answer
  • Given the replacement set : -7 , -8 , -9 , -10 . which value of x correctly solves this equation 7.4x -2 = -61.2
    6·1 answer
  • Find the slope of the line that passes through each pair of points A. (-3,4) and (2,-3)
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!