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tatyana61 [14]
2 years ago
7

7. Write an equation for the line that is parallel to the given line and that passes through the given point.

Mathematics
1 answer:
Vlad1618 [11]2 years ago
8 0

Answer:

C. y = 1/2x - 14

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line parallel to  y = 1 /2 x − 8 .

y = 1 /2 x − 14                              PARALLEL

...................................................................................................................................................

Find the negative reciprocal of the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line perpendicular to  y = 1 /2 x − 8 .

y = − 2 x − 29                               PERPENDICULAR

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A system of 2 linear equations is ___ dimensional. It is a graph of _____ lines. The solutions can be _____ solution if the grap
dexar [7]

Considering High School level question, answer can be written as:


A system of 2 linear equations is [two] dimensional. It is a graph of [two] lines. The solutions can be [unique] solution if the graph intersects. [No] solution if the lines are parallel - meaning they have the same slope, or [Infinitely many] solutions if they are the same line.

Explanation:

when two lines are drawn on a two-dimensional plane then there are only three possible cases:


Case1: lines will intersect

In that case you will get a unique solution at the intersection point.


Case2: lines are parallel but don't touch each other

In that case there will be no point which lies on both lines so No solution.


Case3: lines are overlapping.

In that case all the points lies on both lines so infinitely many solutions.

3 0
3 years ago
Hey can you help me please and thank you! Have a great day and happy thanksgiving!!!
Fittoniya [83]

Answer:

ratio= 120:8

8/8=1

120/8=15

the unit rate is 15:1

It means that one floor is 15 feet high.

The ratio of the height of the building to the number of floors is 120:8. The unit rate is 15:1. This means that each floor of the building is 15 feet high.

6 0
3 years ago
The equation 2y = 8x represents a proportional relationship. What is the constant of proportionality?
Dovator [93]

Answer:4

Step-by-step explanation:

2y = 8x

Divide through by 2

2Y/2 = 8X/2

Y = 4X

Therefore the constant of proportionality is 4

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GaryK [48]
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3 years ago
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Answer:

A

Step-by-step explanation:

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