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FromTheMoon [43]
3 years ago
13

Find the equation of the line using the point-slope formula. Write all the final equations

Mathematics
1 answer:
vivado [14]3 years ago
4 0

Answer:

y=\frac{1}{2}x+\frac{5}{2}

Step-by-step explanation:

We are going to find the slope by lining up the points vertically and subtract, then put 2nd difference over first.

Also you could just use \frac{y_2-y_1}{x_2-x_1}.  It is the same thing.

(  5  ,   5)

-(  1  ,   3)

--------------

  4      2

So the slope is 2/4 or 1/2 after reducing.

The point-slope form a line is

y-y_1=m(x-x_1) with a point on the line (x_1,y_1)=(1,3) given and with slope m=\frac{1}{2} given.

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

We are going to solve this for y and simplify what we can because our goal is y=mx+b; this is slope-intercept form.  It is called that because it tells us the slope,m, and the y-intercept,b.

Distribute:

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

Add 3 on both sides:

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

Simplify:

y=\frac{1}{2}x+\frac{5}{2}

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Andrea has some money. Her brother gives her 7 coins worth 23 cents and now she has 73 cents. If she started with 5 coins, what
Nat2105 [25]

Andrea had 5 coins worth 50 cents ! And , thereafter her brother gave her 7 coins worth 23 cents .

<u>Step-by-step explanation:</u>

Here we have , Andrea has some money. Her brother gives her 7 coins worth 23 cents and now she has 73 cents. If she started with 5 coins, We need to find what coins did Andrea's brother give her and what coins did Andrea start with. Let's find out:

Andrea has some money  , and her brother gives her 7 coins ! worth 23 cents . So , 1 coin worth is :

⇒ \frac{23}{7}

⇒ 3.29cents

Now , she had a total of 73 cents i.e.

⇒ 73 = x+23

⇒ x=50

Initially Andrea had 5 coins worth 50 cents ! And , thereafter her brother gave her 7 coins worth 23 cents .

3 0
3 years ago
Complete the sentence 0,5,1,6,2,7 _,_
Scorpion4ik [409]
3,8
That’s the answer Hope this helped
7 0
3 years ago
39 s 150% of what number?
professor190 [17]

Answer:

26

Hope this helps!

6 0
3 years ago
Which of the following is NOT equal to sin pi/3
Yanka [14]

Answer:

D)  sin(\frac{4\pi }{3} ) = sin(\pi +\frac{\pi }{3} ) = -sin\frac{\pi }{3}

Step-by-step explanation:

A)

sin(\frac{2\pi }{3} ) = sin ( \pi - \frac{\pi }{3} ) = sin\frac{\pi }{3}

B)

cos (\frac{\pi }{6} ) = cos ( \frac{\pi }{2} - \frac{\pi }{3} ) = sin(\frac{\pi }{3})

C)

cos (\frac{11\pi }{6} ) = cos ( \frac{3\pi }{2} + \frac{\pi }{3} ) = sin(\frac{\pi }{3})

D)

 sin(\frac{4\pi }{3} ) = sin(\pi +\frac{\pi }{3} ) = -sin\frac{\pi }{3}

8 0
3 years ago
I NEED HELP!!!!!! 4x+2x-5=7x-1
yan [13]

Let's solve your equation step-by-step.

4x+2x−5=7x−1

Step 1: Simplify both sides of the equation.

4x+2x−5=7x−1

4x+2x+−5=7x+−1

(4x+2x)+(−5)=7x−1(Combine Like Terms)

6x+−5=7x−1

6x−5=7x−1

Step 2: Subtract 7x from both sides.

6x−5−7x=7x−1−7x

−x−5=−1

Step 3: Add 5 to both sides.

−x−5+5=−1+5

−x=4

Step 4: Divide both sides by -1.

−x

−1

=

4

−1

x=−4

Answer:

x=−4

i hope this helps you

3 0
3 years ago
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