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Brilliant_brown [7]
4 years ago
15

How to find the slope of a line when given two points?

Mathematics
1 answer:
Marta_Voda [28]4 years ago
8 0
There is a slope formula for this.
slope = (y2 - y1) / (x2 - x1)

example : lets say u r given 2 sets of points....(1,2) and (3,4). First, we must label out points
set 1:  (1,2)....so lets label these : x1 = 1 and y1 = 2
set 2 : (3,4)...and we label these x2 = 3 and y2 = 4

now we sub these into our formula and solve
slope = (y2 - y1) / (x2 - x1)
slope = (4 - 2) / (3 - 1) = 2/2 = 1
so the slope of these 2 sets of points is 1.

one important thing to remember, ur points may not always be positive...so pay close attention to ur signs

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Angle α lies in quadrant II , and tan α = <img src="https://tex.z-dn.net/?f=-%5Cfrac%7B12%7D%7B5%7D" id="TexFormula1" title="-\f
Hunter-Best [27]

Since \alpha lies in quadrant II and \beta lies in quadrant IV, we expect \sin\alpha>0, \cos\alpha, and \sin\beta.

Recall the Pythagorean identities,

\sin^2x+\cos^2x=1\iff1+\cot^2x=\csc^2x\iff\tan^2x+1=\sec^2x

It follows that

\sec\alpha=\dfrac1{\cos\alpha}=-\sqrt{\tan^2\alpha+1}=-\dfrac{13}5\implies\cos\alpha=-\dfrac5{13}

\sin\alpha=\sqrt{1-\cos^2\alpha}=\dfrac{12}{13}

\sin\beta=-\sqrt{1-\cos^2\beta}=-\dfrac45

Recall the angle sum identity for sine:

\sin(\alpha+\beta)=\sin\alpha\cos\beta+\sin\beta\cos\alpha

So we have

\sin(\alpha+\beta)=\dfrac{12}{13}\dfrac35+\left(-\dfrac45\right)\left(-\dfrac5{13}\right)=\boxed{\dfrac{56}{65}}

4 0
3 years ago
Alice skates 2/5 mile in 1/5 hour. Elizabeth skates 2/3 mile in 2/9 hour. How far did elisabeth escape in in 1 hour?
sergeinik [125]

Question

Alice skates 2/5 mile in 1/5 hour. Elizabeth skates 2/3 mile in 2/9 hour. How far did elisabeth escape in in 1 hour?

Answer:

The Correct Answer is \frac{8}{9}

Complete the multiplication and the equation becomes

\frac{2}{9} +\frac{2}{3} = ?

The two fractions now have like denominators so you can add the numerators.

\frac{2+6}{9} = \frac{8}{9}

Therefore, The Answer Is \frac{8}{9}

Hope this helps!

xXxAnimexXx

6 0
3 years ago
What would it be if -3/4×-3/1=
Finger [1]
2 1/4 (2.25) is your answer
5 0
3 years ago
What is the top one?
Natali5045456 [20]
(-1, -4) yw, that should help unless it is multi-choice pick A also
6 0
3 years ago
Help needed ASAP will give BRAINLIEST and 5 stars NOT A REAL TEST
kykrilka [37]

Answer:

4 is the answer

Step-by-step explanation:

8 0
3 years ago
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