1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vladimir [108]
3 years ago
9

Which is an equation of the line that passes through (-1,-5) and (-3,-7)?

Mathematics
2 answers:
STatiana [176]3 years ago
7 0

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

Let's first find the slope. Below is how you find the slope using two points:

The formula for slope is

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this case we have the two points:

(-1, -5) and (-3, -7)

This means that:

y_{2} =-7\\y_{1} =-5\\x_{2} =-3\\x_{1} =-1

^^^Plug these numbers into the formula for slope...

\frac{-7-(-5)}{-3-(-1)}

\frac{-2}{-2}

1

^^^This is your slope

This is the formula we have so far:

y = 1x + b

OR

y = x + b

Now we must find b

To do that you must plug in one of the given points the line goes through in the x and y of the equation.

(-1, -5)

-5 = 1(-1) + b

-5 = -1 + b

-4 = b

(D) y = x - 4

Hope this helped!

~Just a girl in love with Shawn Mendes

Keith_Richards [23]3 years ago
5 0

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, - 5) and (x₂, y₂ ) = (- 3, - 7)

m = \frac{-7+5}{-3+1} = \frac{-2}{-2} = 1, hence

y = x + c ← is the partial equation of the line

To find c substitute either of the 2 points into the partial equation

Using (- 3, - 7), then

- 7 = - 3 + c ⇒ c = - 7 + 3 = - 4

y = x - 4 → D

You might be interested in
What is the greatest common factor and least common multiple of 4 and 10?
rusak2 [61]

Answer:

The greatest common factor of 4 and 10 is 2, and the Least common multiple of 4 and 10 is 20

Step-by-step explanation:

3 0
3 years ago
Find the area of the region that lies inside the first curve and outside the second curve.
marishachu [46]

Answer:

Step-by-step explanation:

From the given information:

r = 10 cos( θ)

r = 5

We are to find the  the area of the region that lies inside the first curve and outside the second curve.

The first thing we need to do is to determine the intersection of the points in these two curves.

To do that :

let equate the two parameters together

So;

10 cos( θ) = 5

cos( θ) = \dfrac{1}{2}

\theta = -\dfrac{\pi}{3}, \ \  \dfrac{\pi}{3}

Now, the area of the  region that lies inside the first curve and outside the second curve can be determined by finding the integral . i.e

A = \dfrac{1}{2} \int \limits^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} (10 \ cos \  \theta)^2 d \theta - \dfrac{1}{2} \int \limits^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} \ \  5^2 d \theta

A = \dfrac{1}{2} \int \limits^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} 100 \ cos^2 \  \theta  d \theta - \dfrac{25}{2} \int \limits^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} \ \   d \theta

A = 50 \int \limits^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} \begin {pmatrix}  \dfrac{cos \ 2 \theta +1}{2}  \end {pmatrix} \ \ d \theta - \dfrac{25}{2}  \begin {bmatrix} \theta   \end {bmatrix}^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}}

A =\dfrac{ 50}{2} \int \limits^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} \begin {pmatrix}  {cos \ 2 \theta +1}  \end {pmatrix} \ \    d \theta - \dfrac{25}{2}  \begin {bmatrix}  \dfrac{\pi}{3} - (- \dfrac{\pi}{3} )\end {bmatrix}

A =25  \begin {bmatrix}  \dfrac{sin2 \theta }{2} + \theta \end {bmatrix}^{\dfrac{\pi}{3}}_{\dfrac{\pi}{3}}    \ \ - \dfrac{25}{2}  \begin {bmatrix}  \dfrac{2 \pi}{3} \end {bmatrix}

A =25  \begin {bmatrix}  \dfrac{sin (\dfrac{2 \pi}{3} )}{2}+\dfrac{\pi}{3} - \dfrac{ sin (\dfrac{-2\pi}{3}) }{2}-(-\dfrac{\pi}{3})  \end {bmatrix} - \dfrac{25 \pi}{3}

A = 25 \begin{bmatrix}   \dfrac{\dfrac{\sqrt{3}}{2} }{2} +\dfrac{\pi}{3} + \dfrac{\dfrac{\sqrt{3}}{2} }{2} +   \dfrac{\pi}{3}  \end {bmatrix}- \dfrac{ 25 \pi}{3}

A = 25 \begin{bmatrix}   \dfrac{\sqrt{3}}{2 } +\dfrac{2 \pi}{3}   \end {bmatrix}- \dfrac{ 25 \pi}{3}

A =    \dfrac{25 \sqrt{3}}{2 } +\dfrac{25 \pi}{3}

The diagrammatic expression showing the area of the region that lies inside the first curve and outside the second curve can be seen in the attached file below.

Download docx
7 0
3 years ago
Six subtracted from x is less than 25
AnnZ [28]
Answer is going to be x>-19
4 0
3 years ago
Helpppooo meeeee. !!!!!
Brrunno [24]

Answer:

The looks of the Triangles are different.

Step-by-step explanation:

3 0
3 years ago
The formula for the volume of a rectangular prism is V = lwh. Which is the equivalent equation solved for h?​
wel

Answer:

V /(lw) = h

Step-by-step explanation:

V = lwh

Divide each side by lw

V/ ( lw) = lwh/(lw)

V /(lw) = h

4 0
3 years ago
Other questions:
  • Below are the steps to solve an equation:. Step 1: |x – 4| + 1 = 8. Step 2: |x – 4| = 8 – 1. Step 3: |x – 4| = 7. Which of the f
    6·2 answers
  • I am looking to decrease my bill by 25%. Can you look at my current plan and tell me what I can remove to achieve this reduction
    8·1 answer
  • A school is planning a field trip for 142 people. the trip will use six drivers and two types of vehicles : buses and vans. A bu
    6·1 answer
  • *PLEASE HELP*
    8·2 answers
  • No body helped me the last time so I’m posting it again I really need help with this
    14·1 answer
  • Anyone who helps me answer I’ll brainliest them :D
    12·2 answers
  • The figure is made up of two identical quarter circles and a rectangle. The length of the rectangle is 35 cm and its breadth is
    11·1 answer
  • I need help, I'll give brainliest
    12·2 answers
  • Use the rule for y= -6x +8 to find the output if the input is x=20
    8·1 answer
  • Which pairs of angles are alternate interior angles? Select all that apply.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!