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
Marizza181 [45]
3 years ago
7

Write an equation in slope-intercept form for the following line: (-14.1) and (13,-2)

Mathematics
1 answer:
vesna_86 [32]3 years ago
8 0

Answer:

y=-\frac{1}{9}x-\frac{5}{9}

Step-by-step explanation:

(-14,1)(13,-2)

Use the slope-intercept formula:

y=mx+b

m is the slope and b is the y-intercept. Use the slope formula first:

\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}

Rise over run is the change in the y-axis over the change in the x-axis. Plug in the coordinates:

(-14(x_{1}),1(y_{1}))\\(13(x_{2}),-2(y_{2}))

\frac{-2-1}{13-(-14)}

Simplify parentheses (two negatives makes a positive):

\frac{-2-1}{13+14}

Simplify:

\frac{-3}{27} =-\frac{3}{27}=-\frac{1}{9}

The slope is -\frac{1}{9}. Insert into the equation:

y=-\frac{1}{9}x +b

Now, to find the y-intercept, take one of the points and substitute for the x and y values of the equation:

(13,-2)\\-2=-\frac{1}{9} (13)+b

Solve for b, the y-intercept. Simplify parentheses:

-\frac{1}{9}*\frac{13}{1}=-\frac{13}{9}

-2=-\frac{13}{9} +b

Add -\frac{13}{9}  to both sides:

-2+\frac{13}{9}=-\frac{13}{9} +\frac{13}{9}  +b\\\\-2+\frac{13}{9} =b

Simplify:

-\frac{2}{1} +\frac{13}{9}\\\\-\frac{18}{9}+\frac{13}{9}\\  \\b=-\frac{5}{9}

The y-intercept is -\frac{5}{9} . Insert this into the equation:

y=-\frac{1}{9} x-\frac{5}{9}

Finito.

You might be interested in
An isometry is a transformation that preserves?
Murrr4er [49]
An isometry is a transformation that preserves distance.

hope this helps, God bless!
4 0
3 years ago
#8 can anyone help? I need help solving this and showing the work
tamaranim1 [39]
Use distance formula
=√(3-3)^2 +(-4-4)^2
=√64
=8
3 0
3 years ago
Read 2 more answers
In a study of 799 randomly selected medical malpractice​ lawsuits, it was found that 499 of them were dropped or dismissed. Use
Mademuasel [1]

Answer:

Claim is true that most medical malpractice lawsuits are dropped or dismissed.

Step-by-step explanation:

Given :In a study of 799 randomly selected medical malpractice​ lawsuits, it was found that 499 of them were dropped or dismissed.

To Find : Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.

Solution:

n =  799

x = 499

We will use one sample proportion test  

\widehat{p}=\frac{x}{n}\\\widehat{p}=\frac{499 }{ 799}\\\widehat{p}=0.6245

We are given that the claim is most medical malpractice lawsuits are dropped or dismissed.

Probability of dropped or dismissed is 1/2

 H_0:p=0.5\\H_a:p>0.5

Formula of test statistic = \frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}

                                        =\frac{0.6245-0.5}{\sqrt{\frac{0.5(1-0.5)}{799}}}

                                       = 7.038

p value (z>7.038) is 0

α =0.05

So, p value < α

So, we reject the null hypothesis

So,claim is true

Hence most medical malpractice lawsuits are dropped or dismissed.

6 0
3 years ago
What is the surface area of this triangular pyramid?<br> ___square inches
IrinaVladis [17]

Answer:

Surface area = 10.7 in.²

Step-by-step explanation:

Surface Area of triangular pyramid = BA + P*L

Base Area (BA) = ½*nh

b = 2 in.

h = 1.7 in.

BA = ½*2*1.7 = 1.7 in.²

Perimeter (P) = 2 + 2 + 2 = 6 in.

Slant height (L) = 3 in.

Plug in the values

Surface Area = 1.7 + ½*6*3

Surface area = 10.7 in.²

5 0
3 years ago
I need help please with this math problem
Arada [10]
When the dilation is centered on the origin, you can multiply each of the individual coordinates by the scale factor.

All the coordinates are ±5 and the scale factor is 1/5. Multiplying those gives ±1. The only selection with all coordinates being ±1 is
.. Selection A.

You can check to see if the signs agree in detail. (They do.)
8 0
3 years ago
Other questions:
  • Franklin has a five-dollar bill and d dimes in his money jar. Which expression could represent the value, in dollars, in frankli
    13·1 answer
  • The center of a circle is located at (5, −5) . The radius of the circle is 3.
    9·1 answer
  • The following data show the number of hours per day 12 adults spent in front of screens watching​ television-related content. 1.
    13·1 answer
  • Five and four hundred three thousandths in standard form
    15·2 answers
  • brett is building a fence around his yard. he has worked on it for two weeks so far. he finished 2/8 the first week and 3/8 the
    11·1 answer
  • Find m∠CAD.<br><br> A. mCAD = 79 B. mCAD = 158<br> C. mCAD = 90 D. mCAD = 89
    7·1 answer
  • What is the slope of the function?<br> 1<br> 4<br> N-<br> 2<br> 4
    5·1 answer
  • Name each of the points on the coordinate plane and find the distance between C and D.
    13·1 answer
  • Each square represents 1 whole. Which of the following are represented by the model shown? Select the three correct answers.
    9·1 answer
  • I’ll give the Brainliest to who answers these questions with a reasonable explanation.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!