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Lady_Fox [76]
3 years ago
7

Find the slope of the line that passes through (-2, 7) and (-2, 9)

Mathematics
2 answers:
Margaret [11]3 years ago
6 0

Answer:

<h3>-1/2</h3>

Step-by-step explanation:

<u><em>SLOPE FORMULA:</em></u>

\Rightarrow \displaystyle \mathsf{\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}  }}

Y₂=9

Y₁=7

X₂=(-2)

X₁=(-2)

Solve.

\displaystyle \mathsf{\frac{9-7}{(-2)-(-2)}=\frac{2}{-4}=\frac{2\div2}{-4\div2}={\mathsf{\frac{1}{ -2}=\boxed{\mathsf{-\frac{1}{2}} }}}   }}

The slope is -1/2.

igor_vitrenko [27]3 years ago
3 0
Y(2)-y(1)/x(2)-x(1)

9-7/-2–(-2)

0

It is a vertical line
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Answer:

Step-by-step explanation:

Explanation:

The

average rate of change

of g(x) over an interval between 2 points (a ,g(a)) and (b ,g(b) is the slope of the

secant line

connecting the 2 points.

To calculate the average rate of change between the 2 points use.

∣

∣

∣

∣

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

g

(

b

)

−

g

(

a

)

b

−

a

a

a

∣

∣

∣

−−−−−−−−−−−−−−−

g

(

6

)

=

6

2

−

6

+

3

=

33

and

g

(

4

)

=

4

2

−

4

+

3

=

15

Thus the average rate of change between (4 ,15) and (6 ,33) is

33

−

15

6

−

4

=

18

2

=

9

This means that the average of all the slopes of lines tangent to the graph of g(x) between (4 ,15) and (6 ,33) is 9

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