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max2010maxim [7]
2 years ago
10

Find the midpoint M of the line segment joining the points P = (-8, 3) and Q = (-2, -7).

Mathematics
1 answer:
Gnom [1K]2 years ago
7 0

Answer:

Step-by-step explanation:

Let (x,y) be midpoint of P(3,4) & Q(5,−2)

Midpoint formula for two points (a,b) and (c,d) is

(x,y) =(

2

a+c

​

,

2

b+d

​

).

x=

2

3+5

​

=4

y=

2

4−2

​

=1

∴   (x,y)=(4,1)

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Read 2 more answers
Find the slope of the line that passes through (87, 91) and (88, -4).
Elanso [62]
<h2>Answer:    slope = - 95</h2><h2> </h2>

Step-by-step explanation:    

      The question gives us two points, (87, 91) and (88, -4), from which we can find the slope and later the equation of the line.

<u> </u>

<u>Finding the Slope</u>  

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

                                        =  (91 - (- 4)) ÷ (87 - 88)    

                                        =  - 95

<em><u /></em>

<em><u /></em>

<em><u>Checking my answer:</u></em>

<em>Finding the Equation</em>  

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                                ⇒  y - (-4) =  - 95 (x - 88)

                                       y + 4 =  - 95 (x - 88)

<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>

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