2 answers

What is the rate of change between #(6,-3)# and #(8,-2)#?

Question:

What is the rate of change between #(6,-3)# and #(8,-2)#?

Answers

#1/2#

Explanation:

Assuming linear relation or direct relation between two variables #x# & #y#,

The rate of change between the points #(x_1, y_1)\equiv(6, -3)# & #(x_2, y_2)\equiv(8, -2)# is the slope #dy/dx# of line joining given points which is given as

#dy/dx=\frac{y_2-y_1}{x_2-x_1}#

#=\frac{-2-(-3)}{8-6}#

#=\frac{1}{2}#

.

#1/2#

Explanation:

#"the rate of change is the slope (m) of the line joining "#
#"the 2 points"#

#"to calculate m use the "color(blue)"gradient formula"#

#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#

#"let "(x_1,y_1)=(6,-3)" and "(x_2,y_2)=(8,-2)#

#m=(-2-(-3))/(8-6)=1/2#

.

Similar Solved Questions

1 answer
5a. Write a balanced equilibrium equation for Cas(PO4)2 going into solution. b. The CRC Hand book...
5a. Write a balanced equilibrium equation for Cas(PO4)2 going into solution. b. The CRC Hand book gives the solubility of Cas(PO4)2 at 25°C as 0.0012 g/100 mL. Determine the molar solubility of Cas(PO4)2. This is the molarity of a saturated solution. c. Determine Ksp for Ca3(PO4)2....
1 answer
Salmont Corporation uses the FIFO method in its process costing system. The company reported 27,000 equivalent...
Salmont Corporation uses the FIFO method in its process costing system. The company reported 27,000 equivalent units of production for materials last month. The company's beginning work in process inventory consisted of 7,000 units, 35% complete with respect to materials. The ending work in proc...
1 answer
On December 21, 2020, Buffalo Company provided you with the following information regarding its equity investments....
On December 21, 2020, Buffalo Company provided you with the following information regarding its equity investments. December 31, 2020 Investments (Trading) Cost Fair Value Unrealized Gain (Loss) Clemson Corp.stock $18,600 $(900) (1,100) 9,900 Colorado Co.stock Buffaloes Co.stock $17,700 8,800 19,190...
1 answer
From the Textbook The Agricultural Marketing System: Describe concentration, diversification, and conglomeration in the food processing...
From the Textbook The Agricultural Marketing System: Describe concentration, diversification, and conglomeration in the food processing industry....
1 answer
What are Anglo-Saxon meter, sonnet, and blank verse style of writings? Give examples
What are Anglo-Saxon meter, sonnet, and blank verse style of writings? Give examples...
1 answer
We are going to assume the class is a group of policy makers at a large...
We are going to assume the class is a group of policy makers at a large insurance company – ABC HMO. Part of our pay is based on the company's financial performance for the current year. Specifically, the company looks at actual vs. projected medical expenses per member. The expected is ba...
1 answer
How do you plan for an international business with changing rules and taxes in a Communist...
How do you plan for an international business with changing rules and taxes in a Communist government like China?...
1 answer
7.2.13-T before the best A clinical trial was conducted to test the effectiveness of a drug...
7.2.13-T before the best A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 23 subjects had a mean wake time of 105,0 min. After treatment the 23 subjects had a mean wake time of 100.4 min and a standard deviation of 20.1 min...
1 answer
Problem 2 Kasi Skyrider, an amateur motorcyde racer, averages 135 seconds per lap with a standard...
Problem 2 Kasi Skyrider, an amateur motorcyde racer, averages 135 seconds per lap with a standard deviation of 3.4 seconds. The distribution of her lap times is normally distributed. We are interested in one of her randomly selected laps. a. (2%) X ~ trick and b. (3%) What is the probability that he...
1 answer
Prove that, for large integer k 〉 0, the 2-norm of an arbitrary matrix Ak behaves...
Prove that, for large integer k 〉 0, the 2-norm of an arbitrary matrix Ak behaves asymptotically like ー2+1 where j is the largest order of all diagonal submatrices J of the Jordan form with o(%)-ρ(A) and v is a positive constant. (Hint: refer to Greenbaum for an expression of the k...
1 answer
Held with .getBackground in Java. I have a list with 5 colours. I need to find...
Held with .getBackground in Java. I have a list with 5 colours. I need to find the index of the background of each panel(there are 4), this is however not working. How can I compare them? private static final List Color COLOR LIST new ArrayList Color Arrays asList new Color Color RED Color GREEN Co...
1 answer
Describe the significance of rating in relation to credit risk. Illustrate your answer with some examples
Describe the significance of rating in relation to credit risk. Illustrate your answer with some examples...
1 answer
The distance between the dipole and the point charge in the diagram in the (^figure is...
The distance between the dipole and the point charge in the diagram in the (^figure is d. if the distance between them were changed to 10d by what factor would the force on the point charge due to the dipole change?...
1 answer
Mesh Current Method 。Example8: find the voltages across the resistors +R4 1. Mesh current directions given...
Mesh Current Method 。Example8: find the voltages across the resistors +R4 1. Mesh current directions given 2. 3. i, R Voltage polarities chosen and labeled Identify n-m (3) mesh currents > i, is independent > is independent s1 R,S is independent Apply KVL around meshes a, b, and c 4. s2...
1 answer
In a test of hypotheses Ho:f = -28 versus H1:+-28 at the 1% level of significance,...
In a test of hypotheses Ho:f = -28 versus H1:+-28 at the 1% level of significance, when the sample size is 40 and o is unknown the rejection region will be the interval of union of intervals: 0 (-00, -2.576] U (2.576,00) O [2.426, 0) 0 (-00, -2.708] U (2.708,00) 0 (-00, -2.326] U[2.326,00) O 6-00,-2...
1 answer
The Regal Cycle Company manufactures three types of bicycles—a dirt bike, a mountain bike, and a...
The Regal Cycle Company manufactures three types of bicycles—a dirt bike, a mountain bike, and a racing bike. Data on sales and expenses for the past quarter follow: Total Dirt Bikes Mountain Bikes Racing Bikes Sales $ 925,000 $ 267,000 $ 400,000 $ 258,000 Variable manufacturing an...
1 answer
One example of health equity
one example of health equity...
1 answer
Arrange the following weak bases in order of expected increasing stability. H CH CH3 H-C-H HC-N-CH,...
Arrange the following weak bases in order of expected increasing stability. H CH CH3 H-C-H HC-N-CH, HỌC-C-CH, * *0 II III a. (least stable base) III <I < II (most stable base) b. (least stable base) I < II < III (most stable base) c. (least stable base) III <II < I (most stab...
1 answer
Question 10 (1 point) For purposes of the child and dependent care credit, a dependent child...
Question 10 (1 point) For purposes of the child and dependent care credit, a dependent child who is not incapacitated must be under age 13. 1) True 2) False...