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3 years ago

Write the equation of the line that is parallel to

Mathematics

2 answers:

baherus [9]3 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]3 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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From 10 am to 4 pm the temperature changed -36 degrees. If the temperature changed equally for the last 6 hours, How much did it

swat32

Answer:

-6 degrees per hour

Step-by-step explanation:

divide -36 by 6(the number of hours) and get -6

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3 years ago

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Can anyone explain how to do this? The answer isn't as important as the explanation. My teacher gave us a video w/o an example l

solong [7]

Answer:

x = 182.53

Step-by-step explanation:

Use trigonometric ratios to find the whole side length (a) adjacent to 20° and the side length (b) adjacent to 57° respectively. Then find the difference. That would give you the value of x. That is: a - b = x

Let's solve.

✍️Finding the whole side length adjacent to 20°:

Opp = 87

Adjacent length = ? = a

$\theta = 20$

Thus,

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(20) = \frac{87}{a}$

Multiply both sides by a

$tan(20) \times a = \frac{87}{a} \times a$

$tan(20) \times a = 87$

Divide both sides by tan(20)

$\frac{tan(20) \times a}{tan(20)} = \frac{87}{tan(20)}$

$a = \frac{87}{tan(20)}$

$a = 239.03$

Finding the side length adjacent to 57°:

Opp = 87

Adjacent length = ? = b

$\theta = 57$

Thus,

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(57) = \frac{87}{b}$

Multiply both sides by b

$tan(57) \times b = \frac{87}{b} \times b$

$tan(57) \times b = 87$

Divide both sides by tan(57)

$\frac{tan(57) \times b}{tan(57)} = \frac{87}{tan(57)}$

$b = \frac{87}{tan(57)}$

$b = 56.50$

Therefore:

x = a - b

x = 239.03 - 56.50

x = 182.53

4 0

3 years ago

PLEASE HELP!

vlabodo [156]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

(need help asap)

r-ruslan [8.4K]

Step-by-step explanation:

give more points then I will tell

7 0

3 years ago

Help please thank you

kozerog [31]

To solve this question, we can use the tangent. The adjacent leg to the angle will have a length of 9.3 and the opposite leg will have a length of 7.4

Using these, we can create an equation to solve for unknown angle (let it be x) using the tangent.

$\tan(x)=\dfrac{7.4}{9.3}$

Take the inverse tangent, or arc tangent, on both sides.

$x=tan^{-1}(\dfrac{7.4}{9.3})$
$\approx 39$

Your answer is the first choice. I hope this helps! :)

4 0

3 years ago