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vlada-n [284]
2 years ago
11

Write the equation of the line that is parallel to

Mathematics
2 answers:
baherus [9]2 years ago
8 0

Answer:

y = - x + 2

Step-by-step explanation:

  • We can use the below formula to find the equation of a line.

y = m x + c

Here,

m ⇒ slope

c ⇒ y - intercept

  • We know that , if two lines are parallel to each other, it means that the slopes of two lines are also equal.
  • Therefore, according to the question we have to find the y - intercept in order to write the equation of the line.
  • For that, you can use the given coordinate of the new line.
  • <em>Also, as the two lines are parallel, the slope of the new line is (-1 ).</em>

Let us solve now.

( -6 , 8 ) ⇒ ( x , y )

y = m x + c

8 = -1 × -6 + c

8 = 6 + c

8 - 6 = c

2 = c

  • And now let us write the equation of the line.

y = m x + c

y = - x + 2

Hope this helps you :-)

Let me know if you have any other questions :-)

Kruka [31]2 years ago
4 0

Answer:

y = -x + 2

Step-by-step explanation:

Lines that are parallel have the same slope but different

y-intercepts.

So the slope of the parallel line is -x

We can input the x and y points given to solve for the new y-intercept

  • y = -x + b
  • 8 = -(-6) + b
  • 8 = 6 + b
  • b = 2

The new line is y = -x + 2. Since these two lines are the same, they are coinciding lines.

-Chetan K

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Nonamiya [84]

Answer:

I think Option C is the correct answer

I think it will help you.

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2 years ago
This is the third time I post this question and no one answered it can someone please help me​
Alchen [17]

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Step-by-step explanation:

5 0
3 years ago
Astrid travels 130 km in 2 hours and then at 85 km/h for another 3 hours to reach her
Pie

Answer:

\huge\boxed{\sf Speed = 77\ km/hr}

Step-by-step explanation:

<h3><u>Formula to be used in the question:</u></h3>
  • Speed = Distance / Time
<h3><u>Distance for the first 2 hours:</u></h3>

= 130 km

<h3><u>Distance for the next 3 hours:</u></h3>

Speed = 85 km/h

Time = 3 hours

So,

Distance = Speed × Time

Distance = 85 × 3

Distance = 255 km

So,

<h3><u>Total distance from home to destination:</u></h3>

= 130 + 255

= 385 km

<h3><u>Speed on the return journey:</u></h3>

Total distance = 385 km

Time = 5 hours

Speed = Distance / Time

Speed = 385 / 5

Speed = 77 km/hr

\rule[225]{225}{2}

4 0
2 years ago
Write an equivalent expression for 36 divided by [-9] [-5]?
natima [27]
36/-9-5=14/7-11 36/-9=-4 -4-5=-9 14/7=2 2-11=-9
3 0
3 years ago
10| x – 4| - 3 &gt; 47​
Andrew [12]

Answer:

x < -1    or    x > 9

Step-by-step explanation:

10|x-4|-3>47

Add 3 to both sides.

10|x-4|-3+3>47+3

Simplify.

10|x-4|>50

Divide both sides by 10.

\frac{10|x-4|}{10} >\frac{50}{10}

Simplify.

|x-4|>5

Apply absolute value rule: If |u|>a,a>0 then u < -a or u>a

x-4 or x-4 >5

x-4

Add 4 to both sides.

x-4+4

Simplify.

x

x-4>5

Add 4 to both sides.

x-4+4>5+4

Simplify.

x>9

Combine the intervals.

x or x>9

8 0
3 years ago
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