Estimate the slope of the graph at the points (x1, y1) and (x2, y2).

Estimate the slope of the graph at the points (x1, y1) and (x2, y2). All answers.. Rest assured that we will give you the most correct answers. Good reading..

Estimate the slope of the graph at the points (x1, y1) and (x2, y2).

All required answers are given below. We recommend that you read carefully.

Question:

Estimate the slope of the graph at the points {eq}\left(x_{1},y_{1} \right) {/eq} and {eq}\left(x_{2},y_{2} \right) {/eq}.

Slope:

The slope of the line connecting two points {eq}(x_1, y_1) {/eq} and {eq}(x_2, y_2) {/eq} is the ratio of "rise over run":

$$m = \dfrac{ y_2-y_1}{x_2-x_1} $$

In the case of a curve {eq}f(x) {/eq}, the instantaneous rate of change or derivative {eq}f'(x) {/eq} of the function changes at each point, and corresponds to the slope of the tangent line to the curve at that point.

Answer and Explanation:

At the point {eq}\left ( x_1,y_1 \right ) {/eq}, the function appears to be horizontal, meaning its slope is exactly zero:

$$f'(x_1) = 0 $$

The tangent line passing through {eq}\left ( x_2,y_2 \right ) {/eq} also appears to pass through the points {eq}(0, -3) {/eq} and {eq}(2,2) {/eq}. The slope of the graph can therefore be determined from the ratio of "rise over run" between these points: $\left(x_2,y_2\right)$ also appears to pass through the points $(0,-3)$ and $(2,2)$. The slope of the graph can therefore be determined from the ratio of "rise over run" between these points:

$$f^{\prime }\left(x_2\right)=\frac{y_2-y_1}{x_2-x_1}=\frac{2-(-3)}{2-0}=\frac{5}{2}$$

Tips For Solving Lesson Questions

Effective Test Solving Techniques

• According to the guidance information: Test-taking experience is one of the factors that significantly affect the test result. In these types of exams, success is about approaching the questions or recognizing the question style.
• Every question style is important. The student must learn the solution of every question for which he does not know the answer correctly.
• When solving a test, knowledge, being able to look at the acquired information from a different perspective and speed are very important.
• Solving lots of paragraph questions and reading books improves interpretation in questions.
• Speed ​​control can be achieved by solving lots of questions and keeping time.
• The more questions the student solves, the more he reduces his careless mistakes.
• You are very likely to make mistakes on the test with information that is not learned well enough. You can check whether you have studied the subject first and then taken the test and learned, from here, you can identify your shortcomings and learn which subject you need to reconsider.
• The questions in the exams have five difficulty levels. Although the difficulty level of the questions in the test is different, the score of the easy question and the hard question is the same.

Difficulty Distribution of Questions

	Difficulty Level	Percentage in Test
one	Very easy	10%
2	Easy	20%
3	Normal	40%
4	Difficult	20%
5	Very difficult	10%

• “Turning Technique”: In the 1st round, he can easily do 70% of the test by solving normal, easy and very easy questions. In the 2nd round, the student has the chance to increase his score even more.
• In the circling technique, it means that you first start doing the questions you know.
• Next to the questions you don't know at that moment, "?" You can look at the next round by placing the sign.
• There may be questions that are difficult for you that you cannot do over and over. Keep your spirits up by keeping in mind that this is normal because of the type of booklet it might be lined up like this. You will see that easy questions come one after another on the following pages.
• Try to read and understand the question and then think about the answer. Don't be afraid of long questions means more clues. Long questions are easy questions.
• Find the answer after reading all the options. Some questions ask you for the most correct answer. / Estimate the slope of the graph at the points (x1, y1) and (x2, y2).
• After each practice test, see what kind of questions you answered incorrectly (questions with not, long paragraphs, etc.). Solve such tests.
• The first 15 minutes is the time you are most likely to make a mistake. Since the first minutes are times of distraction and high anxiety, first solve the questions you know best and are based on the knowledge, and review the first questions after the exam.
• The important thing is not how many questions you get right in the test. It is important that you identify the issues you are missing here and work on those issues, and that you can correct the questions and types of questions you answered incorrectly.
• Make sure to answer numerical questions using a pen.
• Coding is one of the most important issues in testing. Coding the question correctly is as important as solving the question correctly. By coding after each question, you are prepared to move on to the next question. You will minimize the possibility of scrolling.

1. MISTAKES MADE IN EXAMS

   Reading the questions too fast: Reading the question at a speed that causes you to get it wrong will make you get the question wrong. The brain tends to perceive negative words as positive. Therefore, it will be useful to try to understand the question correctly by underlining words such as "not, the most correct answer" at a speed that you can understand carefully.
2. “Deciding between two options”: It is important for time management to move on to other questions without getting too hung up on this type of question. Then, returning to the question again and solving it by taking a break makes it easier for you to find the truth.
3. "I know it." Marking the distracting option by saying: It is caused by not reading the root of the question well or marking without reading all the answers. Since some questions require the "most correct answer", the choice of each question should be read carefully. / Estimate the slope of the graph at the points (x1, y1) and (x2, y2).
4. Worrying by evaluating your performance in the exam at the time of the exam: If you cannot answer a difficult question, do not worry that you will fail the exam and reduce your motivation. Remember that the most important thing at the time of the exam is to give your best. Keep in mind that there will be questions that every student has difficulty with.

To construct a polygon with three points x1, y1, x2, y2, x3, and y3, use ________.

• Question

Area of triangle with vertices (x_1, y₁), (x_2, y₂) & (x_3, y₃) is given by _______.

A

½[ x₁(y₂+y₃) - x₂(y₃+y₁) - x₃(y₁+y₂)]

B

½[ x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)]

½[ x₁(y₂-y₃) - x₂(y₃-y₁) + x₃(y₁-y₂)]

D

½[ x₁(y₂-y₃) + x₂(y₃-y₁) - x₃(y₁-y₂)]

• Solution

The correct option is B ½[ x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)]
½[ x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)]

Next time;

• to construct a polygon with three points x1, y1, x2, y2, x3, and y3, use
• what is the electric field at the position (x1,y1)=(5.0 cm, 0 cm) in component form?
• estimate the slope of the graph at the points (x1, y1) and (x2, y2)