Point (-1, 3) lie on a line with a slope of 4, what is the equation of the line?

Mathematics

1 answer:

sukhopar [10]3 years ago

7 0

Answer: y-3=4(x+1) in point-slope form and y=4x+7 in slope intercept form

Step-by-step explanation:

You can find the point-slope form by plugging the numbers into the following: y-y₁=m(x-x₁).

You will end up with y-(3)=(4)(x-(-1)) which when simplified equals y-3=4(x+1).

To find slope intercept form you know need to isolate y and simplify.

Adding 3 to both sides results in y=4(x+1)+3.

If you then distribute you get y=4x+4+3 which simplifies to y=4x+7.

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Story Problems

Gnom [1K]

Problem 3: Let x = price of bag of pretzels Let y = price of box of granola bars
We have Lesley's purchase: 4x+2y=13.50
And Landon's: 1x+5y=17.55
We can use the elimination method. Let's negate Landon's purchase by multiplying by -1. -1x-5y=-17.55
We add this four times to Lesley's purchase to eliminate the x variable.
2y-20y=13.50-70.2
-18y=-56.7
y = $3.15 = Price of box of granola bars

Plug back into Landon's purchase to solve for pretzels.
x+5*3.15=17.55
x+15.75=17.55
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Problem 4.
Let w = number of wood bats sold
Let m = number of metal bats sold

From sales information we have: w + m = 23
24w+30m=606
Substitution works well here. Solve for w in the first equation, w = 23 - m, and plug this into the second.
24*(23-m)+30m=606
552-24m+30m=606
6m=54
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Therefore since w = 23-m, w = 23-9 = 14. 14 wooden bats were sold.

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3 years ago

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Help with a,b,c answers

Ket [755]

The answers For A,B,C.
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B.2.25
C.1

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Answer:

(2,3)

Step-by-step explanation:

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Find the quotient of 2/5 and 4/5<br> Give your answer as a fraction in its simplest form.

mixer [17]

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Step-by-step explanation:

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4 years ago

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I don’t know how you do 17.1 divided by 0.9.

andreyandreev [35.5K]

The answer is 19

work :

1-multiply the numbers by a submultiple of 10 to remove the decimal points.
$17.1 \times 10 = 171 \\ \\ 0.9 \times 10 = 9$

2-

now do the division :
$171 \div 9 = 19$

so the answer is 19

note: there is no need to get it back to decimal number unless you multiply just one of the numbers or multiply the numbers with different submultiples of 10

good luck

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3 years ago

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