All categories

3 years ago

What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 2x + y - 1=0?

Mathematics

1 answer:

elixir [45]3 years ago

7 0

Answer:

y=-2x+4

Step-by-step explanation:

2x+y-1=0

2x+y=0+1

2x+y=1

y=1-2x

y=-2x+1

y=mx+b where m=slope and b=y-intercept

parallel means same slope,

so the slope would still be -2.

--------------

y-y1=m(x-x1)

y-2=-2(x-1)

y=-2x+2+2

y=-2x+4

You might be interested in

A building makes a 90° angle with the ground. A ladder leans against the building, making a 110° exterior angle with the ground.

liberstina [14]

<u>Answer:</u>

A building makes a $90^{\circ}$ angle with the ground .The two interior angles are $70^{\circ}$ and $20^{\circ}$

<u>Solution: </u>

Given, a ladder which is against the building wall makes an exterior angle of $110^{\circ}$

And building makes a $90^{\circ}$ angle with the ground.

So, altogether it makes a right angle triangle with ladder as hypotenuse and ground as base leg and building as another leg.

Now, we know that, sum of exterior angles and interior angles equals to $180^{\circ}$

Here, in the case of ground and ladder, exterior angle is $110^{\circ}$ and interior angle is unknown.

Exterior angle + interior angle = 180

110 + interior angle = 180

Interior angle = 180 – 110

Interior angle = $70^{\circ}$

We have found one of the two interior angles of right angle triangle.

We know that, sum of angles in a triangle is 180 degree

Known Interior angle + unknown interior angle + right angle = 180

70 + unknown interior angle + 90 = 180

Unknown interior angle + 160 = 180

Unknown interior angle = 180 - 160

Unknown interior angle = $20^{\circ}$

Hence the two interior angles are $70^{\circ}$ and $20^{\circ}$

7 0

4 years ago

Assume the value continues increasing at the

timama [110]

There’s no question or problem to this

5 0

3 years ago

To convert 70 minutes to seconds, you would use the ratio a. true b. false

Angelina_Jolie [31]

True, you would use the ratio of minutes to seconds.

8 0

3 years ago

Hello im in 11th grade, im currently struggling in two classes: chemistry and spanish. Im already in the second semester, and ju

Katarina [22]

For chemistry you would need to get an 84.
For Spanish you would need to get an 82.
Best of luck

7 0

4 years ago

What is the solution set of the equation set 3|5-x|+2=29 ?

MatroZZZ [7]

Answer:

Answer: x = - 4 or x = 14.

Step-by-step explanation:

Rearrange unknown terms to the left side of the equation:3 |5 - x| = 29 - 2Calculate the sum or diff.

4 0

3 years ago

What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 2x + y - 1=0?​

What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 2x + y - 1=0?