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
svlad2 [7]
3 years ago
5

What is an equation of the line that passes through the points (4, -6)and (8, -4)

Mathematics
2 answers:
kow [346]3 years ago
7 0

Answer:

y = 1/2x - 8.

Step-by-step explanation:

The slope of the line = rise / run

= (-4 - (-6)) / (8 - 4)

= 2/4

= 1/2.

Using the point/slope form of the equation of a line:

y - y1 = m(x - x1)

Here we have m = 1/2 and (x1, y1) = (4, -6):

y - (-6) = 1/2 (x - 4)

y + 6 = 1/2x - 2

y = 1/2x - 8.

QveST [7]3 years ago
3 0

\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-4}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{4}}}\implies \cfrac{-4+6}{4}\implies \cfrac{2}{4}\implies \cfrac{1}{2}

\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{4}) \\\\\\ y+6=\cfrac{1}{2}x-2\implies y=\cfrac{1}{2}x-8

You might be interested in
It takes two hours for two machines to manufacture 10000 parts. If machine #1 can do the job in one hour less than machine #2, h
elena-14-01-66 [18.8K]

Answer:

Time machine one = 3.56

Time machine two = 4.56

Step-by-step explanation:

Let machine 2 do the job in x hours

Let machine 1 do the job in x - 1 hours.

The general formula for this problem is

Time = A*B/(A + B)

Givens

Time = 2 hours

B = x hours alone

A = x - 1 hours alone.

#################

x *( x - 1)

======= = 2

(x + x - 1)

(x^2 - x)/(2x - 1) = 2

x^2 - x = 2(2x - 1)

x^2 - x = 4x - 2

x^2 - 5x + 2 = 0

a = 1

b = - 5

c = 2

This gives 2 roots

x = 4.56

x = 0.43

The second root will not work because when 1 is subtracted from 0.43 the time give will be minus, which won't work.

Time for machine 2 is 4.56

The time for machine 1 is 3.56

Check

(A * B)/(A + B) = 2

A = 4.56

B = 3.56

Time = 4.56*3.56/(4.56 + 3.56)

Time = 16.2336/(8.12)

Time = 1.9992

The rounding error in the check comes from the rounding error in the times.  

4 0
3 years ago
Triangle PQR is reflected across a line, P = (4,–5), and P’ = (–4, –5). What is the line of reflection? the x-axis the y-axis th
Evgesh-ka [11]

For this case we have that the original vertex is given by:

P = (4, -5)

We apply the following transformation:

(x, y) (-x, y)

We have then:

(4, -5) (- (4), -5) (- 4, -5)

Therefore, we have a reflection on the y axis.

The point obtained is the vertice:

P '= (-4, -5)

Answer:

the line of reflection is:

the y-axis

3 0
3 years ago
Read 2 more answers
What is my gpa if I have 4 A’s 1 B and 1 C
GenaCL600 [577]

Answer:

3.5

I,jJUiIJzuzusjdjusususuuss

8 0
2 years ago
Read 2 more answers
Anyone wanna help?please
timama [110]

\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}

Given to points to us are :-

  • ( 3 , -6 )
  • ( -1 , -8 )

( As these are plotted on graph with yellow dots .)

Now , we can use Distance Formula , which is :-

\boxed{\pink{\tt Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}

Here ,

  • x1 = 3 .
  • x2 = -1.
  • y1 = (-6)
  • y2 = (-8).

<u>→ Substituting the respective values , </u>

⇒ Distance = √ [ { 3 - (-1)}² + { -6 -(-8)²} ] .

⇒ Distance = √ (3+1)² + (8-6)²

⇒ Distance = √ 4² + 2²

⇒ Distance = √ 16 + 4

⇒ Distance = √20 = √4 × √5

⇒ Distance = 4√5units .

<u>Hence the distance between two points is 4√5u.</u>

3 0
3 years ago
What is the measure of angle A?
I am Lyosha [343]

First you have to find the angle B (check attachment)

B = 180^{\circ} - 137^{\circ} = 43^{\circ}\\

Then you can find the last angle inside the triangle, which I'll call C

C = 180^{\circ} - 102^{\circ} - 43^{\circ} = 35^{\circ}

Now you can find angle A

A = 180^{\circ} - C = 180^{\circ} - 35^{\circ} = 145^{\circ}

3 0
3 years ago
Other questions:
  • Please answer CORRECTLY !!!! Will mark brainliest !!!!
    8·1 answer
  • If you were to randomly survey 50 people from the phone books of 20 randomly chosen cities, would this be a random sample? Why o
    15·2 answers
  • (x+4)(x+3)-x(x-2)=48
    14·1 answer
  • Whats the greatest common factor of 20 and 40
    7·2 answers
  • I need help with 7. Please show me how u got to your answer and please do the explanations
    12·1 answer
  • juila has 3 1/2 pounds of dog food.she has to slit it quality among her 7 dogs how much food will each dog receive
    14·1 answer
  • The gallup poll interviews 1600 people. of these, 18% say that they jog regularly. the news report adds: "the poll had a margin
    8·1 answer
  • Write the slope-intercept-form of an equation that passes through the point (-2,3), and is parallel to y=-x+5.
    7·1 answer
  • Write each number in scientific notation.<br><br> 0.00916<br> {blank} x10 {blank}
    9·1 answer
  • Witch ones are bigger. <br> a. 5/9 or 11/18<br><br> b. 3/8 or 4/9
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!