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
Amiraneli [1.4K]
2 years ago
13

Write an equation in point-slope form of the line that passes through the point 4,-1and has slope of -5

Mathematics
1 answer:
Basile [38]2 years ago
6 0

Answer:

y=-5+19

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -5. So you can right away fill in the equation for a line somewhat to read:

y=-5x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(4,-1). When x of the line is 4, y of the line must be -1.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the -5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (4,-1).

So, why not plug in for x the number 4 and for y the number -1? This will allow us to solve for b for the particular line that passes through the point you gave!.

(4,-1). y=mx+b or -1=-5 × 4+b, or solving for b: b=-1-(-5)(4). b=19.

You might be interested in
Please answer and put how
muminat
6 + m/4 = 3 (subtract 6 from both sides)
m/4 = -3 (multiply both sides by 4)
m = -12

Can plug in to original equation to check work:
6 - 12/4 = 3
6 - 3 = 3
3 = 3 

The answer m = -12 checks out
3 0
3 years ago
Read 2 more answers
QUICK! 10 points!
zysi [14]

Answer:

Yes.

Step-by-step explanation:

I had this same question.

4 0
3 years ago
Two stockings have different amounts of candy canes. The girl said to the boy, "if I give you one of my candy canes, we'll have
liubo4ka [24]

9514 1404 393

Answer:

  • girl: 7
  • boy: 5

Step-by-step explanation:

Let g and b represent the numbers of candy canes the girl and boy have, respectively.

  g -1 = b +1 . . . . . . girl gives to boy, they're equal

  g +1 = 2(b -1) . . . . boy gives to girl; she has double

Adding 1 to the first equation gives an expression for g that can be substituted into the second equation.

  g = b +2

  (b +2) +1 = 2b -2

  5 = b . . . . . . . . . . add 2-b, simplify

  g = 5+2 = 7 . . . . . find g

The girl has 7 candy canes; the boy has 5.

8 0
2 years ago
A 12-foot ladder is placed four feet from the base of a wall.
nikitadnepr [17]

Answer:8sqrt 2 or sqrt 128

Step-by-step explanation:

We can use the Pythagorean Theorem. Since the ladder is leaning against the wall, it is the hypotenuse. It is also 4 feet away from the wall so 12^2-4^2=b^2 b^2=128 so b=8sqrt 2 or sqrt 128.

4 0
2 years ago
Which of the following is a factor of x2 − 8x + 15?
brilliants [131]

Answer:

(x−3)(x−5)

Step-by-step explanation:

Let's factor x2−8x+15

x2−8x+15

The middle number is -8 and the last number is 15.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -8

Multiply together to get 15

Can you think of the two numbers?

Try -3 and -5:

-3+-5 = -8

-3*-5 = 15

Fill in the blanks in

(x+_)(x+_)

with -3 and -5 to get...

(x-3)(x-5)

3 0
3 years ago
Read 2 more answers
Other questions:
  • <img src="https://tex.z-dn.net/?f=%20%5Cbinom%7B%20-%2036%7D%7B%20-%204%7D%20" id="TexFormula1" title=" \binom{ - 36}{ - 4} " al
    15·2 answers
  • Find a counter example to following bad definition: a square has four right angles
    5·2 answers
  • I have 3 times as many nickels as quarters. How many quarters do I have if I have
    9·1 answer
  • How do you Solve 2|x|=3
    6·1 answer
  • What is the range of f(x)=4•0.5^x?
    12·1 answer
  • Can someone please help me with this question?
    13·2 answers
  • Assume that the probability of a defective computer component is 0.02. Components arerandomly selected. Find the probability tha
    8·1 answer
  • those are 25 men on the roster of the base ball team three are cattchers 8 are infelids 6 are outsiders and the remainder are pi
    11·2 answers
  • For what value of x do the expressions 2x+3 and 3x-6 have the same value?
    7·1 answer
  • 13. Don is running a race. He knows he can run 60 feet in 4 seconds. If he maintains this rate, how many miles will he run in 1
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!