All categories

2 years ago

What is the equation of a line that is parallel to the given line and passes through the point (-2,2)

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

3 0

The equation of the line will be y = $\dfrac{1}{5}x + \dfrac{12}{5}$

<h3>What is an equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

First, we need to find the equation of the line that is given:

We can use the formula,

$m = \dfrac{y_1 - y_2}{x_1-x_2}$

$m=\dfrac{-3-(-4)}{0-(-5)}=\dfrac{1}{5}$

So the equation for this line is

y = (1/5) x - 3

This means that the equation for the line we are trying to find has a slope of as well

Let's put the points in the equation and try to find the y-intercept:

2 = $\dfrac{1}{5}$ ( -2 ) + b

$\dfrac{15}{5} = b$

So the final equation for the line we are trying to find is y = $\dfrac{1}{5}x + \dfrac{12}{5}$

To know more about equations follow

brainly.com/question/2972832

#SPJ1

You might be interested in

1/2 - 1/5=<br> Please answer

Veronika [31]

Answer: 3/10

Step-by-step explanation:

Subtract them

5 0

3 years ago

Read 2 more answers

1) Find an equation of the tangent line at each given point on the curve.x = t2 − 4, y = t2 − 2tat (0, 0)at (−3, −1)at (−3, 3)2)

Anastasy [175]

Answer:

1) at ( 0,0) : y = x/2. at(-3-1) : y = -1. at(-3,3) : y = 2x +9

2) DNE ( does not exist )

Step-by-step explanation:

The general equation of tangent line

y - y1 = m( x - x1 )

attached below is the detailed solution on how i derived the answers above

8 0

4 years ago

Consider the following relation.

Jet001 [13]

Answer:

(0,-1),(1,0),(2,1),(3,2)

Step-by-step explanation:

We are given that a relation

y=x+1y=x+1

We have to find the four points contained in the inverse

The given function is linear function

Therefore,

Domain of function=R

Range of function=R

x=y-1x=y−1

Now, replace x by y and y replace by x

y=x-1y=x−1

Now, substitute y=f^{-1}(x)=f

−1

(x)

f^{-1}(x)=x-1f

−1

(x)=x−1

It is linear function and defined for all real values.

Substitute x=0

f^{-1}(0)=-1f

−1

(0)=−1

Substitute x=1

f^{-1}(1)=1-1=0f

−1

(1)=1−1=0

f^{-1}(2)=2-1=1f

−1

(2)=2−1=1

f^{-1}(3)=3-1=2f

−1

(3)=3−1=2

Therefore, four points contained in the inverse (0,-1),(1,0),(2,1) and (3,2)

6 0

3 years ago

Simplify the slope of AC

Lemur [1.5K]

Answer:

$Slope\:\: \overline{AC} =1$

Step-by-step explanation:

A is on the same point on the x-axis as B and the same point on the y-axis as D

Therefore, the coordinate of A is (0,0)

C is on the same point on the x-axis as D and the same point on the y-axis as B.

Therefore, the coordinate of C is (a,a)

We are to determine the slope of the line joining A to C.

$Slope, m =\dfrac{y_2-y_1}{x_2-x_1} \\(x_1,y_1)=(0,0),(x_2,y_2)=(a,a)\\$Therefore, Slope of AC$\\m =\dfrac{a-0}{a-0}\\=\dfrac{a}{a}\\\\=1$

$Slope\:\: \overline{AC} =1$

6 0

3 years ago

Chapter 12 F

marshall27 [118]

Answer:

(m+n) -a = r

Step-by-step explanation:

first, you have to find what m+n is because that is their total budget, then you have to remove how much their apartment costs from their budget, because r is the amount of free cash they have. once A is subtracted from m+n, you have r

8 0

3 years ago