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anygoal [31]
2 years ago
13

If the slope of a line and a point on the line are​ known, the equation of the line can be found using the​ slope-intercept form

, y = mx + b. To do​ so, substitute the value of the slope and the values of x and y using the coordinates of the given​ point, then determine the value of b. Using the above​ technique, find the equation of the line containing the points (-4,7) and (2,-2).
What is the equation of the line?

(Simplify your answer. Type your answer in​ slope-intercept form. Use integers or fractions for any numbers in the​ equation.)
Mathematics
1 answer:
meriva2 years ago
7 0

Answer:

y=-3/2x+1

Step-by-step explanation:

NOTE: Doing graphs by hand is a lot easier, it saves a lot more time as well.

Step 1: plot your 2 known points.

Step 2: draw a line that goes between both points

Step 3: find the distance of the points in RISE/RUN format.

-9/6. The slope is negative because the line goes down to the right.

Step 4: find your y-intercept.

1.

Step 5: simplify your equation

-9/6 = -3/2

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The data below are the monthly average high temperatures for New York City. What is the five-number summary? 40, 40, 48, 61, 72,
yawa3891 [41]

Answer:

B) Sample minimum: 40, Sample maximum: 84

Q1: 45, Median: 63, Q3: 77

Step-by-step explanation:

The first step is to write the temperatures in crescent order:

40, 40, 42, 48, 54, 61, 65, 72, 76, 78, 84, 84,

The sample minimum is the lowest value = 40

The sample maximum is the highest value = 84.

Since there are 12 numbers, the sample median is the average between the 6th and 7th terms:

M = \frac{61+65}{2}\\ M=63

The first quartile is the average between the 3rd and 4th terms:

Q_1 = \frac{42+48}{2}\\ Q_1=45

The third quartile is the average between the 9th and 10th terms:

Q_3 = \frac{76+78}{2}\\ Q_3=77

Therefore, the answer is:

B) Sample minimum: 40, Sample maximum: 84

Q1: 45, Median: 63, Q3: 77

8 0
2 years ago
Step-by-step solution for: (√2+√10)^2
azamat
Note:  √a * √a  = a
           √a * √b  = √ab

(√2 + √10)²  =  (√2 + √10)(√2 + √10)
                    =  √2(√2 + √10) + √10(√2 + √10)
                    =   √2*√2 + √2*√10 + √10*√2 + √10*√10
                    =       2      + √20  + √20 + 10
                    =      (2 + 10) + (√20 + √20)
                    =        12 +  2√20

√20 = √(4 *5) = √4 * √5 = 2√5

                     =        12 +  2√20  = 12 + 2(2√5)
                     = 12 + 4√5
5 0
3 years ago
• Yogi is planning a concert for his animal friends. He arranges his chairs and if he makes 8 rows he was
qaws [65]

Answer: Yogi has 59 chairs.

Step-by-step explanation: For the question, it's a lot of guess an check. 10 is a good place to start. Times 10 by 8 and add 3. Then times 6 by 10 and add 17. Does it equal the same number? No. Is it close? Yes. So maybe try going up a few numbers or down a few. You'll eventually get 7 which when you multiple 7 by 8 and add 3 and multiple 6 by 10 and add 17, you'll get 59.

5 0
2 years ago
What are the vertices of POR?
cupoosta [38]

Answer is (d) P, Q , R

Any triangle has 3 vertices , after which its name is justified

8 0
3 years ago
The diagram below shows a student using a clinometer to measure the height of a flagpole. When the student stands 40 feet away f
AVprozaik [17]
The correct answer is the flagpole is <span>33 feet high</span>.

Explanation:
Please refer to the attached picture.

We know:
CD = 40 feet
AC = 5 feet
∠BDC = α = 35°

Using trigonometry, we know that the definition of the tangent of an angle is the ratio between the opposite side and the adjacent side, therefore:
tan α = BC / CD

Solving for BC:
BC = CD · <span>tan α
      = 40 </span>· tan (35)
      = 28 feet

In order to find the height of the flagpole, we need to add the distance of the clinometer from the ground:
AB = BC + AC
      = 28 + 5
      = 33

Hence, the flagpole is 33 feet high.

5 0
3 years ago
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