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2 years ago

What is the slope of the line passing through the points (2, −5) and (4, 1)?

Mathematics

1 answer:

Yuri [45]2 years ago

8 0

Slope =change of y over change of x

(2, −5) and (4, 1)

M= 1-(-5)/4-2

M=6/2

M=3

So the slope is 3.

If you need the equation

Y=mx+b

(4, 1)

1= 3(4)+b

1=12+b

1-12=b

-11=b

So equation

Y=3x-11

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In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that lines

lisabon 2012 [21]

To enable the completion of the proof that line l is parallel to line m, a

diagram showing the lines and their common transversal is attached.

The completed two column proof is presented as follows;

Statement ${}$ Reason

1. ∠1 and ∠2 are supplementary angles ${}$ 1. Given

2. m∠1 + m∠2 = 180° ${}$ 2. Definition of supplementary ∠s

3. ∠1 and ∠3 are supplementary angles ${}$ 3. Exterior sides in opposite rays

4. m∠1 + m∠3 = 180° ${}$ 4. Definition of supplementary ∠s

5. m∠1 + m∠2 = m∠1 + m∠3 ${}$ 5. Transitive property of equality

6. m∠2 = m∠3 ${}$ 6. Subtraction property of equality

7. l ║ m ${}$ 7. Converse of alternate interior

${}$ angles postulate

Reasons:

Reason for statement 2: Supplementary angles are defined as two angles that sum up to 180°

Reason for statement 3: Two angles are supplementary if the exterior sides that form each angle are opposite rays (rays that are drawn out infinitely in opposite direction but have the same endpoint)

Statement 4: Mathematical expression of the sum of ∠1 and ∠3; Reason for statement 4 is the definition of supplementary angles

Reason for statement 5: Transitive property of equality describes the property that if a number x = y, and z = y, then x = z.

Statement 6: Subtracting m∠1 from both sides of the equation in statement 5. gives; m∠1 + m∠2 - m∠1 = m∠1 + m∠3 - m∠1 ⇒ m∠2 = m∠3. Reason for statement 6 is the subtraction property of equality

Reason for statement 7: The converse of the alternate interior angles postulate states that if the alternate interior angles formed between two lines and a common transversal are congruent, the two lines are parallel.

Learn more here:

brainly.com/question/25178453

6 0

2 years ago

I have 2 questions.

frosja888 [35]

I dont know the first answer but the 2nd is dad

6 0

2 years ago

Read 2 more answers

Linda knitted 1/6 of a sweater on Friday and 2/9 of the sweater on Saturday. On Sunday she knitted 1/2 of the remaining sweater.

sladkih [1.3K]

This is pretty simple. All you have to do is make the first and second fraction share a denominator by multiplying them by each other.

6 • 9 = 54

Then multiply each numerator by the opposing denominator.

1 • 9 = 9

2 • 6 = 12

Here are the new fractions:

9/54

12/54

Now add the 9 and 12 together.

9 + 12 = 21

The complete fraction:

21/54

Subtract 21 from 54 so you can get the remainder of the sweater.

54 - 21 = 33

This is the remainder fraction:

33/54

Can you simplify this? Yes, of course! They can both be divided by 3!

11/18

That is the remainder of the sweater. But you still have to divide it in half! After all, Linda only knitted half of the remaining sweater. Dividing it in half can be done just by multiplying the denominator by 2.

11/36

That should be your answer! Apologies if I got something wrong.

7 0

3 years ago

What is 89 divided by 6 in long division and how would u show ur work?

vovikov84 [41]

1 4 . 8 3333
6 8 9 50

14.8333

3 0

2 years ago

Find the value of x

gayaneshka [121]

Answer:

42°

Step-by-step explanation:

Since all the angles in the figure add up to 180°...

180 - 54 = 126

3x = 126°

x = 126 ÷ 3 = 42

4 0

2 years ago