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Alinara [238K]
3 years ago
15

Write the equation of a line in point Slope form that passes through the points (-8,-3) and (2,2)

Mathematics
1 answer:
ella [17]3 years ago
4 0

Answer:

The midpoint of the points (2,8) and (0,4) is given by:

(

2

x

1

+x

2

,

2

y

1

+y

2

)=(

2

2+0

,

2

8+4

)=(

2

2

,

2

12

)=(1,6)

We must must transform the standard form equation −3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.

−3x+6y=5 (Subtract 3x on both sides.)

6y=3x+5 (Divide both sides by 6.)

y=

6

3

x+

6

5

y=

2

1

x+

6

5

The slope of our first line is equal to

2

1

. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is

x

1

.

The negative reciprocal of

2

1

is equal to −2, therefore, −2 is the slope of our line.

Since the equation of line passing through the midpoint (1,6), therefore, substitute the given point in the equation y=−2x+b:

6=(−2×1)+b

6=−2+b

b=6+2=8

Substitute this value for b in the equation y=−2x+b:

y=−2x+8

Hence, the equation of the line is y=−2x+8.

Step-by-step explanation:

make me as brain liest

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Consider the enlargement of the pentagon. A small pentagon has a bottom side length of x centimeters and left side length of 7 c
LuckyWell [14K]

When the pentagon is drawn to scale then its value of x will be x=3.3 cm

<h3>What is the pentagon?</h3>

The pentagon is defined as the shape having five sides connected together.

Now it is given in the question that

For small pentagone

Bottom =x

left =7 cm

For larger pentagone

Bottom=7cm

left=15cm

Now since the pentagon is actually dilated from its size to the new bigger size. It means that the equivalent ratio of both the pentagons will be equal.

For smaller pentagon

\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{x}{7}

For bigger pentagon

\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{7}{15}

Since both, the ratio is the same

\dfrac{x}{7} =\dfrac{7}{15}

x=\dfrac{49}{15} =3.3\ cm

Thus the pentagon is drawn to scale than its value of x will be x=3.3 cm

To know more about Pentagone follow

brainly.com/question/4804571

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3 years ago
What does x equal to in the equation −7x&gt;10
natita [175]

Answer:

Step-by-step explanation:

hello :

−7x>10

multiply by : -1   : 7x < -10

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