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
drek231 [11]
3 years ago
11

Write an equation in point slope and slope intercept form of a line that passes through the given point and has the given slope

m.(If possible please show work)

Mathematics
2 answers:
Nastasia [14]3 years ago
8 0

Answer: Point slope form   y+4= -1/2(x+3)  

Slope intercept form: y=-1/2x -11/2

Step-by-step explanation:

(-3,-4) : m= -1/2  

So we know the slope and to write it in point slope form it will be like ,

y- b = m(x-a)   Where b is the y value and a is the x value  and m in this case is the slope .

y- (-4) = -1/2 ( x-(-3)   which reduces to  y+4= -1/2(x+3)

Now to write it in slope intercept form  it will be  like y=mx+b and we kow htat m is the slope but we do not know b the y-intercept. But using the given coordinates we could plot it into the formula and solve for b.

y = mx +b

We  know that y is -4  

We know that m is -1/2  

we know that x is  -3  

so  -4 = -1/2(-3) + B

    -4  = 3/2 + b

   -3/2    -3/2

  b= -11/2  

We know now that the y intercept is -11/2 so we could write  it in slope intercept form.

y= -1/2x - 11/2

Evgesh-ka [11]3 years ago
6 0

Answer:

Point-Slope: y+4=-\frac{1}{2}(x+3)

Slope-Intercept: y=-\frac{1}{2}x-\frac{11}{2}

Step-by-step explanation:

The point-slope formula is y-y_{1}=m(x-x_{1}  ). The slope-intercept formula is y=mx+b. Since we are given the point and slope, we can directly plug it into the point-slope formula.

Point-Slope

y-(-4)=-\frac{1}{2}(x- (-3))

y+4=-\frac{1}{2} (x+3)

To find the slope-intercept form, we can manipulate the point-slope form to get the slope-intercept form.

Slope-Intercept

y+4=-\frac{1}{2}x-\frac{3}{2}

y=-\frac{1}{2}x-\frac{11}{2}

You might be interested in
Round the following percentages to one decimal place.0.698%53.123%0.075%34.337%3.876%
balandron [24]

To round off a given number in decimals to one decimal place (1 dp), we simply take the figure right after the decimal and approximate the remaining after it. If the second number after the decimal is a significant number (5 and above) we make it 1 and add to the number right after the decimal. If its NOT a significant number, we simply disregard it. The solutions therefore are;

ANSWER:

\begin{gathered} \text{Rounded to one decimal place;} \\ (1)0.698\%\approx0.7 \\ (2)53.123\%\approx53.1 \\ (3)0.075\%\approx0.1 \end{gathered}

Notice how the number in (1) becomes 0.7, after taking the next number (which is 9) and adding it as 1 to the number after the decimal (which is 6). The same applies to the number in (3).

\begin{gathered} (4)34.337\%\approx34.3 \\ (5)3.876\%\approx3.9 \end{gathered}

4 0
1 year ago
Plsss help me !!!!
Yuri [45]

Answer:

The enrollment after 5 years is 10,724

Step-by-step explanation:

Generally, we can have the depreciation formula written as follows;

A = P(1 - r)^t

A is the number of enrollment in after a certain number of years t

P is the initial population which is 13,500

r is the rate of depreciation which is 4.5% = 4.5/100 = 0.045

t = 5 years

Substituting these values, we have it that;

A = 13,500(1-0.045)^5

A = 10,723.84

4 0
2 years ago
How to solve a quadratic sequence
Luda [366]
FIRST FIND THE THE FIRST AND SECOND DIFFERENCES ON THE GIVEN SEQUENCE OF NUMBERS.                                                                 FOR EXAMPLE IF YOU ARE GIVEN THIS SEQUENCE                                  2,4,6,8............AND YOU ARE ASKED TO FIND THE GENERAL FORMULA....  STEP 1:FIND THE FIRST DIFFERENCE  BY SUBTRACTING THE FIRST TERM FROM THE SECOND TERM,AND THE SECOND FROM THE THIRD AND SO ON.                                                                          STEP 2:FIND THE SECOND DIFFERENCE BY APPLYING STEP 1 TO THE ANSWERS OBTAINED.EG 4-2=2,6-4=2,8-6=2 THEREFORE THE SECOND DIFFERENCE WILL BE 2-2=0,2-2=0                                                                STEP 3:DIVIDE THE SECOND DIFFERENCE BY 2 TO GET THE VALUE OF (A).                                                                                                                STEP 4:WRITE 3a-b=the first term of the first term of the first difference which is the difference between 4 and 2.and solve for the value of b.3(0)-b=2 therefore b=-2                                                                                                    STEP 5:FIND THE VALUE OF c BY  term 1=a=b=c                                                                                                                                                               
6 0
3 years ago
If D is the midpoint of the segment AC and C is the midpoint of segment DB , what is the length of the segment AB , if AC = 3 cm
Juliette [100K]
<span>A midpoint divides a line or a segment into two equal parts. If D is the midpoint of the segment AC and C is the midpoint of segment DB, what is the length of the segment AB, if AC = 3 cm.</span>

 

If D is the midpoint of AC, then AD=DC

If C is the midpoint of DB, then DC=CB

If AC=3cm. then then DC-3/2=1.5

If DC=1.5 then CB is 1.5 also

AB=AC+CB

AB=3+1.5

AB=4.5

5 0
3 years ago
Suppose an oligopoly consists of two firms. Firm A lowers price and Firm B responds by lowering its price by the same amount. If
VMariaS [17]

Answer:

The profits for firma A and B will decrease.

Step-by-step explanation:

Oligopoly by definition "is a market structure with a small number of firms, none of which can keep the others from having significant influence. The concentration ratio measures the market share of the largest firms".

If the costs remain the same for both companies and both firms decrease the prices then we will have a decrease of profits, we can see this on the figure attached.

We have an equilibrium price (let's assume X) and when we decrease a price and we have the same level of output the area below the curve would be lower and then we will have less profits for both companies.

4 0
3 years ago
Other questions:
  • Show the outcomes for picking a vowel from the word APPLE and consonant from the word BOOK
    15·1 answer
  • How do you factor the expression<br> 20k+50
    10·2 answers
  • Simplify. 1/4+4(1/2−3/4)^2 Enter your answer in the box.
    7·1 answer
  • You earn $2,323 per month after taxes. Your monthly bills are as follows….Rent $870, food $754, child care $961, car $607 and ta
    14·1 answer
  • Which rule describes the transformation that is a reflection across the x-acis
    12·1 answer
  • What is -4+5x-17-22x simplified by combining like terms?
    7·1 answer
  • HELP Which expression is equivalent to - 2 1/5 divided by (1/11)?
    13·1 answer
  • Consider the two triangles.
    5·1 answer
  • Mark went to the sandwich shop. He had a choice of 2 types of bread, 3 meats, and 3 drinks. How many different combinations did
    9·2 answers
  • Please help me with this!<br> •<br> •<br> •
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!