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3 years ago

Line passes through points (-1,-2) and (1,4). What is the equation of the line?

Mathematics

2 answers:

scoray [572]3 years ago

5 0

Answer: y=3x+1

Step-by-step explanation:

First find slope using formula

m= y2–y1/x2–x1

m= 4– (—2)/ 1— (—1)

m= 3

So,

y= mx+b

y=3x+b. Using (1,4) plug into equation of a line

4= 3(1)+b

4 – 3= b

1= b. So,

y=3x+1

GenaCL600 [577]3 years ago

3 0

Answer:

y= 3x+1.

Step-by-step explanation:

(-1,-2) and (1,4)

x1 = -1

x2= 1

y1= -2

y2=4

y - y1= (y2 - y1)

______ ( x - x1)

(x2 - x1)

y- (-2)=(4-(-2))

_____ (x- (-1))

(1-(-1))

y+2= 4+2

___ (x+1)

1+1

y+2= 6

_ (x + 1)

y+2=3(x+1)

y+2=3x+3

y=3x+1.

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1 year ago

Which of the following points are more than 5 units from the point P(−2, −2)? Select all that apply. A A (2, 1) B B (4, −1) C C

netineya [11]

The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:

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Using this formula we calculate the distances |PA|, |PB|, |PC|, |PD| and |PE| and compare to 5.

$|PA|= \sqrt{ (-2-2)^{2} + (-2-1)^{2}}= \sqrt{16+9}= \sqrt{25}=5$

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$|PC|= \sqrt{ (-2-2)^{2} + (-2+3)^{2}}= \sqrt{16+1}= \sqrt{17}\approx4$

$|PD|= \sqrt{ (-2+6)^{2} + (-2+6)^{2}}= \sqrt{16+16}= \sqrt{32}\ \textgreater \ \sqrt{25}=5$

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Answer: B and D

3 0

3 years ago

If f(x)=2x^3+5√(x-2) complete the following statement, f(6)=

solong [7]

Answer: 442

Step-by-step explanation:

$f(x)=2x^3+5\sqrt{(x-2)}$

$f(6)$

Simply replace all the x's in the equation for 6

$f(6)=2(6)^3+5\sqrt{(6-2)}\\ f(6)=2(216)+5\sqrt{4}\\ f(6)=432+5*2\\f(6)=432+10\\f(6)=442$

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3 years ago

Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1.670 km per hour. What

Anna35 [415]

Answer:

The circumference of Earth's equator is 40,080 km.

Step-by-step explanation:

Given that every 24 hours, Earth makes a full rotation around its axis, and Earth's speed of rotation at the equator is 1,670 km per hour, to determine what is the circumference of Earth's equator the following calculation must be performed:

24 x 1,670 = X

40,080 = X

Therefore, the circumference of Earth's equator is 40,080 km.

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3 years ago

Clara is stacking cups; she put 45 plastic cups in the first stack, 38 plastic cups in the second stack, 31 plastic cups in the

Levart [38]

Answer:

Subtracting 7

Step-by-step explanation:

Given:

Clara is stacking cups; she put 45 plastic cups in the first stack, 38 plastic cups in the second stack, 31 plastic cups in the third stack, and 24 plastic cups in the fourth stack.

To Find:

What kind of sequence is this?

Solve:

Let's make a table:

[1 stack] 45

[2 stack] 38

[3 stack] 31

[4 stack] 24

Now all we have to do is subtract to see what each is:

45 - 38 = 7

38 - 31 = 7

31 - 24 = 7

Thus,

[1 stack] 45 ⇒ 7

[2 stack] 38 ⇒ 7

[3 stack] 31 ⇒ 7

[4 stack] 24 ⇒ 7

Hence, each stack is going down by 7.

Kavinsky

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2 years ago