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
ANTONII [103]
3 years ago
14

(-4, -7) and (-6, 9) in slope-intercept form. Show work

Mathematics
1 answer:
BigorU [14]3 years ago
5 0

Answer:

Equation of line in slope-intercept form is: y = -8x-39

Step-by-step explanation:

Given points are:

(-4, -7) and (-6, 9)

The slope-intercept form is given by the equation

y = mx+b

Here m is the slope of the line and b is the y-intercept.

m is found using the formula

m = \frac{y_2-y_1}{x_2-x_1}

Here

(x1,y1) = (-4-7)

(x2,y2) = (-6,9)

Putting the values in the formula

m = \frac{9+7}{-6+4} = \frac{16}{-2} = -8

Putting slope in general equation

y = -8x+b

Putting (-6,9) in the equation

9 = -8(-6)+b\\9 = 48+b\\b = 9-48\\b = -39

Putting the value of b we get

y = -8x-39

Hence,

Equation of line in slope-intercept form is: y = -8x-39

You might be interested in
Which of the following shows an integer and its opposite?
pashok25 [27]

3, -3

Step-by-step explanation:

an integer is a whole number

4 0
3 years ago
Pls help i am on a timer
stich3 [128]

Answer:

x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}

Step-by-step explanation:

Given;

x² - 2x - 1 = 0

Solve by completing the square method;

⇒ take the constant to the right hand side of the equation.

x² - 2x = 1

⇒ take half of coefficient of x = ¹/₂ x -2 = -1

⇒ square half of coefficient of x and add it to the both sides of the equation

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

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

⇒ take the square root of both sides;

x-1 = +/- \ \ \sqrt{2} \\\\x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}

Therefore, option B is the right solution.

3 0
2 years ago
A . What is the slope in the line of the graph ?
vampirchik [111]

Answer:

0.2x+3

Step-by-step explanation:

5 0
3 years ago
Given the preimage and image,find the dilation scale factor.​
Oliga [24]

Answer:

The dilation scale factor is \frac{1}{2}.

Step-by-step explanation:

The image is the dilated form of its preimage if and only if the following conditions are observed:

1) K' = \alpha_{1} \cdot K

2) T' = \alpha_{2} \cdot T

3) P' = \alpha_{3} \cdot P

4) J' = \alpha_{4} \cdot J

5) \alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}

If we know that K = (2, 0), K' = (1, 0), T = (3, 0), T' = (1.5,0), P = (1, 5), P' = (0.5, 2.5), J = (0, 3) and J' = (0, 1.5), then the coefficients are, respectively:

\alpha_{1} = \frac{1}{2}, \alpha_{2} = \frac{1}{2}, \alpha_{3} = \frac{1}{2}, \alpha_{4} = \frac{1}{2}

As \alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}, we conclude that the dilation scale factor applied in the preimage is equal to \frac{1}{2}.

7 0
3 years ago
Your friend says 8,705 divided by 1000 is equivalent to 8705 times 0.001. Is your friend correct? Explain
irakobra [83]

Answer:

yes

Step-by-step explanation:

8705/1000 = 8705*0.001

8.705 = 8.705

3 0
3 years ago
Other questions:
  • What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the function
    8·2 answers
  • Work out the size of angle y.
    11·2 answers
  • What is the least common multiple of 5 and 150
    14·1 answer
  • Ramon invested $2,400 into two accounts. One account paid 3% interest and the other paid 6% interest. He earned 5% interest on t
    9·1 answer
  • Select the correct answer.
    10·2 answers
  • Can someone help me with problems 3&4 please
    6·1 answer
  • Need help with this one
    6·1 answer
  • 7y2 - 7y+ 4<br> -(-3y2 + 7y + 7)<br> (Simplify your answer.)
    14·2 answers
  • Can anyone please solve this and tell me if it's correct please
    15·1 answer
  • I already graphed the first question, need number 2 please
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!