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QveST [7]
3 years ago
9

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)

2

y+2=3(x+1)

y+2=3x+3

y=3x+1.

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2 years ago
Dividing Polynomials with Tables Isiah is dividing 2x3 - x2 + 2x + 5 by x + 1 using a division table. His work is shown here. Wh
lukranit [14]

Answer:

5

Step-by-step explanation:

We are asked to find the value of A. We know from the question that we need to have the sum of -3x and (A)x equal the third term of the original polynomial, which is 2x. written out in an equation, it looks like this.

-3x+(A)x=2x

We can simplify the equation if we add 3x to both sides, which then leaves us with this.

(A)x=5x

We can further simplify the equation by dividing both sides by x. This leaves us with our last equation for this problem.

A=5

Finally, we have our answer. We can also verify that this is a valid integer by multiplying our, now completed, quotient by the divisor and adding the remainder, which in this case, our remainder is 0, so we will not be including it in our operation.

(x+1)(2x^{2}-3x+5)

If our calculations were all correct, the product of these polynomials should equal our dividend, verifying our integer is valid; lo' and behold, it is.

2x^{3}-x^{2}+2x+5

8 0
3 years ago
Two payment options to rent a car: You can pay $20 a day plus 25¢ a mile (Option A) or pay $10 a day plus 50¢ a mile (Option B).
BaLLatris [955]

You must drive more than 40 miles to make option A the cheaper plan

<em><u>Solution:</u></em>

Two payment options to rent a car

Let "x" be the number of miles driven in one day

<em><u>You can pay $20 a day plus 25¢ a mile (Option A)</u></em>

25 cents is equal to 0.25 dollars

OPTION A :  20 + 0.25x

<em><u>You pay $10 a day plus 50¢ a mile (Option B)</u></em>

50 cents equal to 0.50 dollars

Option B: 10 + 0.50x

<em><u>For what amount of daily miles will option A be the cheaper plan ?</u></em>

For option A to be cheaper, Option A must be less than option B

Option A < Option B

20 + 0.25x < 10 + 0.50x

Solve the inequality

Add -0.50x on both sides

20 +0.25x -0.50x < 10 + 0.50x - 0.50x\\\\20 - 0.25x < 10

Add - 20 on both sides,

20 - 0.25x - 20 < 10 - 20\\\\-0.25x < -10

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}

0.25x > 10

Divide both sides by 0.25

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7 0
3 years ago
Charlie wants to buy new carpet for his living room floor the floor is in the shape of a rectangle its length is 15 feet and the
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Answer:

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Step-by-step explanation:

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8 0
3 years ago
What set of transformations is performed on triangle RST to form triangle R’S’T’?
DanielleElmas [232]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
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