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
nignag [31]
3 years ago
8

Which is the equation of a line that has a slope of -2/3 and passes through point (-3,-1)?

Mathematics
2 answers:
Fantom [35]3 years ago
5 0

Answer:


Step-by-step explanation:

You have to use Point Slope Form:

  • y - Y1 = m (x - X1)
  • m is the slope
  • Y1 & X1 is a point on the line
  • The form allows you to identify the slope & the point on the line

About Problem:

  • Since -2/3 is the slope, it represents m in y - Y1 = m (x - X1) form.
  • -3 represents X1 in y - Y1 = m (x - X1) form
  • -1 represents Y1  in y - Y1 = m (x - X1) form

y - Y1 = m (x - X1)

y - -1 = -2/3 (x - -3)  ---- This is in Point Slope Form

If you want to solve it, & put it in Slope Intercept form, it would look like this:

y = mx + b

y = -2/3 - 2 --- This is in Slope intercept Form.... I might've solved it wrong... I'm not sure...


Really really sorry if I'm incorrect...




topjm [15]3 years ago
4 0

Answer:  The required equation of the line is 2x+3y+9=0.

Step-by-step explanation:  We are given to find the equation of a line that has a slope of -\dfrac{2}{3} and passes through point (-3,-1).

<em><u>SLOPE-INTERCEPT FORM :</u></em>

The equation of a line having slope m and passing through the point (a, b) is given by

y-b=m(x-a).

For the given line, we have

m=-\dfrac{2}{3},\\\\\\(a,b)=(-3,-1).

Therefore, the equation of the line is given by

y-b=m(x-a)\\\\\Rightarrow y-(-1)=-\dfrac{2}{3}(x-(-3))\\\\\\\Rightarrow y+1=-\dfrac{2}{3}(x+3)\\\\\Rightarrow 3y+3=-2x-6\\\\\Rightarrow 2x+3y+9=0.

Thus, the required equation of the line is 2x+3y+9=0.

You might be interested in
Tara and Edith share a sum of money in the ratio 13 : 12
svlad2 [7]

Answer:

She receives 108.33% ( or $108.33)

Step-by-step explanation:

Tara receives $108.33 because 13/12 into a percentage =108 times 100

which = 108.33.That's all there is to it! Hope you have a great day.

5 0
2 years ago
Write an expression for the area of the shaded region in its simplest form. Show all of your steps.
patriot [66]
The area of the shaded region will be the area of the rectangle minus the area of the white square inside of it:

((x+10)(2x+5)) - ((x+1)(x+1))

First, FOIL both of the areas separately:

(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)

Simplify within the parentheses by adding like terms:

(2x^2 + 25x + 50) - (x^2 + 2x + 1)

Now, subtract one equation from the other:

2x^2 + 25x + 50
-x^2  -    2x  -   1
= x^2 + 23x + 49

This will be the equation for the area.
3 0
3 years ago
A function and its inverse are shown on the same graph. Which statement describes the relationship between the function and its
Korvikt [17]

Answer:C

Step-by-step explanation:on edge

5 0
3 years ago
Find the length of each line segment or object to the nearest half or fours or eighth inch
Aliun [14]

Answer:

a. 1\frac{1}{8} in.

Step-by-step explanation:

<em>hey there,</em>

<em />

< There are 8 marks between 1 in. and 2 in. and here we can see that the distance of the line goes only up to the first mark.

Imagine this like a pizza that's divided into 8, but you only took 1 slice. That means you took only \frac{1}{8} of the pizza. It is the same here on the ruler.

It's not only 1/8 though because we also have to add in the first inch. After that inch, we also have 1/8 of an inch. So 1\frac{1}{8} in. would be your final answer. >

<u>Hope this helped! Feel free to ask anything else.</u>

4 0
3 years ago
1. What is the value of x? Do not convert to decimal. Keep your answer in exact (radical) form. Show all of your work. This is P
lesya [120]

Answer:

The value of x is \sqrt{113}.

Step-by-step explanation:

It is given that hypotenuse is \sqrt{177}. So, the legs would be x and 8.

Let's use Pythagoras theorem,

a^{2} +b^{2} =c^{2}

Plug in the numbers to solve for x.

x^{2} +8^{2} =\sqrt{177} ^{2}

Simplify it

x^{2} +64 =177

Subtract both sides 64.

x^{2} =113

Take square root on both sides

x=\sqrt{113}

We can not simplify the radical.

So, let's keep this as answer.

6 0
3 years ago
Other questions:
  • Which of the following numbers can be expressed as non-terminating decimals? 8 over 9, 3 over 5, 1 over 6, 7 over 2 3 over 5 and
    7·1 answer
  • What fraction is bigger 5/8 or 7/15
    10·2 answers
  • Anyone know this ??
    13·1 answer
  • how do I figure out this problem and what is the correct answer trying to help my kid but I don't know how
    12·1 answer
  • Write the​ point-slope form of the line satisfying the given conditions. Then use the​ point-slope form of the equation to write
    5·1 answer
  • A rocket car on the bonneville salt flats is traveling at a rate of 640 miles per hour. How much time would it take for the car
    10·2 answers
  • It rained 6.14 inches on Saturday and 4.71 inches on Sunday. How much did it rain on
    14·1 answer
  • Find the properties of each Quadratic Function
    13·1 answer
  • What is 12 1/2%expressed as a fraction?
    11·1 answer
  • Find the surface area of the prism
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!