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
xenn [34]
3 years ago
7

A line passes through the point (-10, -8) and has a slope of -1/2. Write an equation in slope intercept form for this line

Mathematics
1 answer:
earnstyle [38]3 years ago
7 0
Start with the slope intercept formula.

y = mx + b

Plug in the slope and coordinates for x and y and solve for b (y-intercept)

-8 = -1/2(-10) + b
-8 = 5 + b
-13 = b

Then rewrite the equation in slope intercept form

y = -1/2 x - 13
You might be interested in
Solve the system of equations.
emmainna [20.7K]

x = \frac{ 419 }{ 113 } ~,~y = -\frac{ 208 }{ 113 } ~,~z = \frac{ 21 }{ 113 }

<h2>Explanation:</h2>

We have the following system of three linear equations:

\begin{array}{ cccc }2~ x&+~~4~ y&+~~32~ z&~=~6\\5~ x&+~~8~ y&+~~~~ z&~=~4\\4~ x&+~~5~ y&+~~2~ z&~=~6\end{array}

Let's use elimination method in order to get the solution of this system of equation, so let's solve this step by step.

Step 1: Multiply first equation by -5/2 and add the result to the second equation. So we get:

\begin{array}{ cccc }2~ x&+~~4~ y&+~~32~ z&~=~6\\&-~~~2~ y&-~~~79~ z&~=~-11\\4~ x&+~~5~ y&+~~2~ z&~=~6\end{array}

Step 2: Multiply first equation by −2 and add the result to the third equation. So we get:

\begin{array}{ cccc }2~ x&+~~4~ y&+~~32~ z&~=~6\\&-~~~2~ y&-~~~79~ z&~=~-11\\&-~~~3~ y&-~~~62~ z&~=~-6\end{array}

Step 3: Multiply second equation by −32 and add the result to the third equation. So we get:

\begin{array}{ cccc }2~ x&+~~4~ y&+~~32~ z&~=~6\\&-~~~2~ y&-~~~79~ z&~=~-11\\&&+~~\frac{ 113 }{ 2 }~ z&~=~\frac{ 21 }{ 2 }\end{array}

Step 4: solve for z.

\begin{aligned}       \frac{ 113 }{ 2 } ~ z & = \frac{ 21 }{ 2 } \\      z & = \frac{ 21 }{ 113 }       \end{aligned}

Step 5: solve for y.

\begin{aligned}-2y-79z &= -11\\-2y-79\cdot \frac{ 21 }{ 113 } &= -11\\y &= -\frac{ 208 }{ 113 } \end{aligned}

Step 6: solve for x by substituting y=-\frac{208}{113} and z = \frac{21}{113} into the first equation:

2x+4(-\frac{208}{113})+32(\frac{21}{113})=6 \\ \\ 2x-\frac{832}{113}+\frac{672}{113}=6 \\ \\ 2x=6+\frac{832}{113}-\frac{672}{113} \\ \\ 2x=\frac{838}{113} \\ \\ x=\frac{319}{113}

Finally:

x = \frac{ 419 }{ 113 } ~,~y = -\frac{ 208 }{ 113 } ~,~z = \frac{ 21 }{ 113 }

<h2>Learn more:</h2>

Solving System of Equations: brainly.com/question/13121177

#LearnWithBrainly

7 0
4 years ago
Michael has constructed a device that fits on the end of a water hose. With this device, he can adjust the diameter of a tube co
Oduvanchick [21]
 x
---- = 5    (solve for x)
0.6

x = 5(0.6)
x = 3

then....

 3
-----  = 15
0.2

your answer should be 15 ft per second.

hope this helps :)










3 0
4 years ago
Read 2 more answers
A national random sample of 654 women aged 20 – 29 years was taken, and each woman's body mass index (BMI) was measured. The sam
irakobra [83]

Answer:

The required interval is (26.23 , 27.37)

Step-by-step explanation:

The mean is = 26.8

The standard deviation is = 7.42

n = 654

At 95% confidence interval, the z score is 1.96

To find the desired interval we will calculate as:

26.8+1.96(\frac{7.42}{\sqrt{654} } )

And 26.8-1.96(\frac{7.42}{\sqrt{654} } )

26.8+0.57 and 26.8-0.57

= 27.37 and 26.23

So, the required interval is (26.23 , 27.37)

6 0
4 years ago
The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are (_,_)
skelet666 [1.2K]

Answer:

(-4,2)

Step-by-step explanation:

3 0
3 years ago
Find x for each of these triangles please
notka56 [123]

Answer:

8) 10°

9) X can not be determined.

10) 10°

11) 12 units.

Step-by-step explanation:

8) The three sides of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each angle will be 60°.

So, 6x = 60°  

⇒ x = 10°.

9) The three angles of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each side will be equal.

So, 6x - 5 = 6x

So, x can not be determined from this equation.

10) Δ KLM is equilateral, so, KN will bisect ∠ MKL. So, ∠ NKL = 30°

Hence, 3x = 30°

⇒ x = 10°

11) In Δ XYZ, XZ = XY , so, ∠ Z = ∠ Y.

Again, ∠ X is given to be 60°.

Therefore, each angle is 60°.

So, the triangle XYZ is equilateral, and each side will be equal.

So, 3x + 8 = 4x - 4

⇒ x = 12 units. (Answer)

3 0
3 years ago
Other questions:
  • Solve this linear equation <br> 2(x-5)-5(7-x)=9
    12·1 answer
  • A quadratic equation of the form 0 = ax2 + bx + c has a discriminant value of 0. How many real number solutions does the equatio
    6·2 answers
  • Find the sum. –12 + (–11) + (–2)
    11·2 answers
  • Which of the following is an odd function?
    13·2 answers
  • Find the distance between points M and N.<br>M= (3,-2)<br>N= (5,-6)​
    12·1 answer
  • A zip line starts on a platform that is 40 meters above the ground. The anchor for the zip line is 198 horizontal meters from th
    13·1 answer
  • Fill in the missing number <br> 7x3=(__x3)+(4x3)
    12·2 answers
  • HELPPP????
    7·2 answers
  • What is an equation of the line that passes through the points (-7,3) and (5,3)?
    9·2 answers
  • Find the midpoint of (0, 4) and (2, -2)
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!