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
trapecia [35]
3 years ago
6

what is the equation of the line, in slope-intercept form, that goes through the point (-6,-4) with m=-1/2

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0
<h3>QUESTION</h3>

What is the equation of the line, in slope-intercept form, that goes through the point (-6,-4) with m=-1/2?

<h3>ANSWER AND EXPLANATION</h3>

For this type of question, you have to use the slope-intercept form equation.

y=mx+b

In the equation, m is the slope and b is the y-intercept.

You are given that m is equal to -\frac{1}{2}. You can put that into the slope-intercept form equation.

y=-\frac{1}{2}x+b

Now you need to find b. To do that, you can substitute y and x with the x and y in the ordered pair given.

The y in the ordered pair is -4. Substitute y with -4 in the equation you have. The x is -6. Substitute x with -6 in the equation.

-4=-\frac{1}{2}(-6)+b

Multiply the x and the slope:

-\frac{1}{2}(-6) = \frac{-6}{-2} =3

The answer is positive because a negative number(-) multiplied by a negative number(-) becomes positive(+).

Now add the product to your equation.

-4=3+b

To leave b alone, subtract 3 from both sides. You need to subtract because to cancel out everything with b, you have to do the opposite of it.

-4-3=3+b-3 \\ \\ -7=b

You have found b, which is -7. Add that to your slope-intercept form equation.

y=-\frac{1}{2}x-7

Your answer is \bf y=-\frac{1}{2}x-7

<em>If you have any questions, feel free to ask in the comments! :)</em>

You might be interested in
Find the surface area of the regular pentagonal pyramid.
mr_godi [17]
Area of each side triangle is 1/2*8*15 = 60. There are 5 of them so the triangles have surface area 300. the pentagon's area 1/2*apothegm*sidelength*sides = 1/2*5.5*8*5 = 110. The total area is therefore 300+110 = 410
3 0
3 years ago
A computer downloads a 48 kilobyte file in 5 seconds. At this rate, how long will it take the computer to download a file that i
docker41 [41]
The answer is 12.5 seconds.

48/5 = 120/x
x = 2.5
2.5 * 5 = 12.5
4 0
2 years ago
Read 2 more answers
7 is one tenth of what number
Sloan [31]

<u><em>Answer:</em></u>

70


<u><em>Explanation:</em></u>

Assume that the number we are looking for is x

one tenth is interpreted into \frac{1}{10}


Now, we know that one tenth of the number is 7, this means that:

\frac{1}{10} * x = 7


Solve for x by multiplying both sides of the equation by 10, we get:

\frac{1}{10} * x * 10 = 7 * 10

x = 70


Hope this helps :)

5 0
3 years ago
Read 2 more answers
Is the following argument valid?
cestrela7 [59]
I believe the answer is A! I hope that's correct! :)
3 0
3 years ago
Read 2 more answers
How do you write the algebraic notation when the scale factor is 1/2?
PIT_PIT [208]

Answer:

(x,y) = (.5x,5y)

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Under which of the following operations are the polynomials 3x+2 and 4y-11 not closed
    11·1 answer
  • a jar contains red and blue marbles the probability that a randomly-selected marble is red is 1/4 if 27 of the marbles are blue
    8·1 answer
  • Rewrite the equation of the parabola in vertex form. y= x2 + 8x - 21
    5·2 answers
  • you are playing a game in which a single die is rolled. If a 2 or 5 comes up, you win $50, otherwise, you lose $36. What is the
    12·2 answers
  • Can anyone help me wit this.
    11·2 answers
  • What is the volume of the cylinder diameter of 13 and height of 11
    5·2 answers
  • HURRY PLSS <br> Solve for x
    10·1 answer
  • Hi I need help with this problem. can anyone you tell me what 5+(-3)​
    15·2 answers
  • Name the following segment or point.
    15·2 answers
  • Find the length of CB.<br> 5x – 3<br> 3x + 1
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!