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
Effectus [21]
3 years ago
14

What is the slope-intercept equation of the line going through (-2,5) and (1,-1)?

Mathematics
1 answer:
jarptica [38.1K]3 years ago
3 0

Answer:

y = -2x+1

Step-by-step explanation:

The slope is found by

m = (y2-y1)/(x2-x1)

   = (-1-5)/(1--2)

    = -6/(1+2)

    = -6/3

    = -2

Then we can use point slope form to make an equation

y-y1 = m(x-x1)

y-5 = -2(x--2)

y-5 = -2(x+2)

Distribute

y-5 = -2x -4

Add 5 to each side

y-5+5 = -2x-4+5

y = -2x+1

This is in point slope form

You might be interested in
Change to a whole or mixed 17/5
krek1111 [17]

Answer:

3  2/5

Step-by-step explanation:

17/5

How many times does 5 go into 15

5*3 =15   3 times

17-15 =2  so there is 2 left over.  This goes over the denominator

3  2/5

5 0
3 years ago
Read 2 more answers
Divide. 6 ÷ 1/4<br>helpp​
artcher [175]

Answer:

24

Step-by-step explanation:

Let’s write them as numbers

6/1/4

Dividing by 4 means multiplying by its reciprocal.

Reciprocal of a number: Can be found when you switch the positions of the denominator and numerator

So reciprocal of 1/4=4/1=4

Next, we multiply by its reciprocal

6*4=24

Therefore, 6 divided by one fourth is 24.

4 0
3 years ago
Read 2 more answers
Help me with this ASAP!!!
joja [24]

Answer:

5

Step-by-step explanation:

6 0
3 years ago
A plane takes off from an airport and flies at a speed of 400km/h on a course of 120° for 2 hours. the plane then changes its co
butalik [34]

Answer:

Distance from the airport = 894.43 km

Step-by-step explanation:

Displacement and Velocity

The velocity of an object assumed as constant in time can be computed as

\displaystyle \vec{v}=\frac{\vec{x}}{t}

Where \vec x is the displacement. Both the velocity and displacement are vectors. The displacement can be computed from the above relation as

\displaystyle \vec{x}=\vec{v}.t

The plane goes at 400 Km/h on a course of 120° for 2 hours. We can compute the components of the velocity as

\displaystyle \vec{v_1}=

\displaystyle \vec{v_1}=\ km/h

The displacement of the plane in 2 hours is

\displaystyle \vec{x_1}=\vec{v_1}.t_1=.(2)

\displaystyle \vec{x_1}=km

Now the plane keeps the same speed but now its course is 210° for 1 hour. The components of the velocity are

\displaystyle \vec{v_2}=

\displaystyle \vec{v_2}=km/h

The displacement in 1 hour is

\displaystyle \vec{x_2}=\vec{v_2}.t_2=.(1)

\displaystyle \vec{x_2}=km

The total displacement is the vector sum of both

\displaystyle \vec{x_t}=\vec{x_1}+\vec{x_2}=+

\displaystyle \vec{x_t}=km

\displaystyle \vec{x_t}=

The distance from the airport is the module of the displacement:

\displaystyle |\vec{x_t}|=\sqrt{(-746.41)^2+492.82^2}

\displaystyle |\vec{x_t}|=894.43\ km

8 0
3 years ago
Find the solution of 3 times the square root of the quantity of x plus 6 equals negative 12, and determine if it is an extraneou
Anna35 [415]
For this case we have the following equation:
 3 \sqrt{x+6}=-12
 Rewriting we have:
 \sqrt{x+6}= \frac{-12}{3}
 \sqrt{x+6}=-4
 We raise both members of the equation to the square:
 (\sqrt{x+6})^2=(-4)^2
 Rewriting we have:
 x+6=16
 x=16-6
 x=10
 It's a extraneous solution because equality is not met by substituting x = 10 in the original equation:
 3 \sqrt{10+6}=-12
 3 \sqrt{16}=-12
 3(4)=-12
 12=-12
 Answer:
 
The solution is:
 
x=10
 It's a extraneous solution

6 0
3 years ago
Other questions:
  • A circle has a circumference of 120 meters. What is the measure of its radius? Round to the nearest tenth.
    9·2 answers
  • What's the shortest distance from a point to a straight line is ?
    15·1 answer
  • 3times the exponent -3
    6·1 answer
  • 2. King James Factory provides farms and restaurants across the nation with com
    10·1 answer
  • Please help I can’t solve this
    9·1 answer
  • 40.1 is what percent of 46?
    5·1 answer
  • . A 1000-gallon tank initially contains a mixture of 450 gallons of cola and 50 gallons of cherry syrup. Cola is added at the ra
    7·1 answer
  • How many shelves did Andrew stock per hour?
    11·1 answer
  • Which table(s) show x and y in DIRECT PROPORTION
    13·2 answers
  • Which point is located in quadrant IV?<br>​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!