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Rina8888 [55]
3 years ago
7

Find the slope of the line through each pair of points.

Mathematics
1 answer:
Fudgin [204]3 years ago
7 0
<h2>Answer:    slope = ¹¹/₁₃ </h2><h3>Step-by-step explanation:    </h3>

      The question gives us two points, (−13, −19) & (13, 3), from which we can find the slope and later the equation of the line.

Finding the Slope

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                          =  ((3 - (-19)) ÷ (13 - (-13))      

                                          =   22 ÷ 26

                                          =  ¹¹/₁₃

<em></em>

<em></em>

<em>Checking my answer:</em>

<em>We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.</em>

                                ⇒  y + 19 =  ¹¹/₁₃ (x + 13)

<em>I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given. </em>

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Hint: To be collinear, show that : AB
Licemer1 [7]

Answer:

As the points are collinear, the slope of the line joining

any two points, should be same as the slope of the line joining two other

points.

Slope of the line passing through points (x

1

,y

1

) and (x

2

,y

2

) =

x

2

−x

1

y

2

−y

1

So, slope of the line joining (p,0),(0,q)= Slope of the line joining

(0,q) and (1,1)

0−p

q−0

=

1−0

1−q

−

p

q

=1−q

Dividing both sides by q,

−

p

1

=

q

1

−1

=>

p

1

+

q

1

=1

5 0
3 years ago
Read 2 more answers
Which would be the better value?<br> A) 12 pens for $2.70<br> B) 16 pens for $3.40
gregori [183]

Answer:

a

Step-by-step explanation:

8 0
3 years ago
Can someone please help me!
ANEK [815]

Answer:

<h2><u>Answer</u><u> </u><u>:</u><u>-</u><u> </u></h2>

Option D :- (180 - 2x)°

<h3><u>Hope</u><u> it</u><u> </u><u>helped</u><u> </u><u>:</u><u>)</u></h3>
3 0
3 years ago
Which represents the value of What is the length of line segment DG?
Natalka [10]

<u>Answer</u>

12 units


<u>Explanation</u>

This can be solved using the properties of a circle.

DG and EG are secants f the circle.

DG×HG =EG×FG

(x+3+5)×5 = (x+6)×6

(x+8)5 = 6x + 36

5x +40 = 6x + 36

x = 4

DG = (x+3+5)

= 4 + 3 + 5

= 12 units

5 0
3 years ago
Read 2 more answers
A. 3x − 7 = −19; x =
djyliett [7]

Answer:

x =-4

Step-by-step explanation:

3x − 7 = −19

Add 7 to each side

3x − 7+7 = −19+7

3x = -12

Divide by 3

3x/3 = -12/3

x =-4

6 0
3 years ago
Read 2 more answers
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