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Marizza181 [45]
3 years ago
6

Complete the point-slope equation of the line through (1,3) (5,1) y-3=?

Mathematics
1 answer:
MaRussiya [10]3 years ago
6 0

Answer:

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

Step-by-step explanation:

Point-slope is:

y-y_1=m(x-x_1)

m-\text{This represents the slope.}\\\\(x_1,y_1)-\text{This represents the point used in the equation.}

<h2>Our goal: </h2>

We have to complete the point-slope equation of the line through (1,3) (5,1).

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

We have a incomplete equation of the line.

y-3=m(x-x_1)

We need to find the <u>slope</u> of the line, and the <u>value</u> of  x_1.

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

<h3>Finding 'x1':</h3>

It seems that the value of 3 was used to be y_1. This means that the point (1,3) was used for the equation. This means that x_1 would have to be 1.

<h3>Finding Slope:</h3>

Slope is rise over run.

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

We are given the points (1,3) and (5,1).

m=\frac{1-3}{5-1}=\frac{-2}{4}=\frac{-1}{2}=\boxed{-\frac{1}{2}}

The slope is one-half.

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

We now have enough information to complete the point-slope equation.

{\left \{ {{x_1=1} \atop {m=-\frac{1}{2} }} \right.}\\\\y-3=m(x-x_1)\rightarrow\boxed{y-3=-\frac{1}{2}(x-1)}

Our final equation is:

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

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Leviafan [203]
<span>jika xy = 0 , kemudian menganggap x dan y = 0

faktor 2x^2-9+7
(2x-2)(x-7)=0

2x-2=0
2x=2
x=1

x-7=0
x=7

</span><span>jika 1 = x1 dan 7 = x2 maka jawabannya adalah 1^2+7^2-4(1)(7)=22
</span>
jika 7 = x1 dan 1 = x2 maka jawabannya adalah
7^2+7^2-4(7)(1)=22

<span>jawabannya adalah 22</span>


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3 years ago
How many terms are in the binomial expansion of (2x + 3)5? <br><br> 4<br> 5<br> 6<br> 7
KatRina [158]
One more than the degree.
Answer: 6.
3 0
3 years ago
Read 2 more answers
If y=6 when x=15 then which of thr following is the value of x when y=20
denis23 [38]

Answer:

if you meant x times y...

15 x 20 is 300.

if you meant x + y...

15 + 20 is 35.

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2 years ago
4. Anna, Beate and Cindy buy a bag of 30 biscuits together. They get 10 biscuits each. But Anna has paid 80 cents, Beate 50 cent
erma4kov [3.2K]

Answer:

  • Option E. 6.

Step-by-step explanation:

<u>80:50:20 or 8:5:2. 8 ÷ 15 * 30 = 16 = 16 - 10 = 6. This is the solution.</u>

  • Option A. 30 + 10 = 40. Incorrect. The solution is unequal to this.
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<u>Option E will be the answer.</u>

6 0
2 years ago
What are the zeros of the function y = 2x2 + 5x + 2?
Dvinal [7]

Answer: not sure

but I need points

Step-by-step explanation:

JUST KIDDING It’s A I did this in school before and got it correct :)

4 0
2 years ago
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