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3 years ago

A line contains the points (4,2) and (0, -1).What is the equation of the line?

Mathematics

2 answers:

Kobotan [32]3 years ago

5 0

Answer: y = - 3x/4 + 5

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (4,2) and (0, - 1),

y2 = - 1

y1 = 2

x2 = 0

x1 = 4

Slope,m = (2 - - 1)/(0 - 4) = - 3/4

To determine the y intercept, we would substitute x = 4, y = 2 and m= - 3/4 into

y = mx + c. It becomes

2 = - 3/4 × 4 + c

2 = - 3 + c

c = 2 + 3 = 5

The equation becomes

y = - 3x/4 + 5

Lady bird [3.3K]3 years ago

3 0

Find the slope:

y₂ - y₁ / x₂ - x₁

-1 - 2 / 0 - 4

-3 / -4

3/4

y = mx + b

y = 3/4x + b

Substitute any of the point's coordinate in the equation.

I'll pick (0,-1)

y = 3/4x + b

-1 = 3/4(0) + b

-1 = 0 + b

-1 = b

y-intercept = -1

y-intercept Equation:

y = 3/4x - 1

Point-slope form:

y - 2 = 3/4(x - 4)

Standard form:

-3/4x + y = -1

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Irina18 [472]

Answer:

$\bf C)\: -\cfrac{1}{32}$

Step-by-step explanation:

$\tt \cfrac{1}{2^{-2}x^{-3}y^5}$

$\tt x=2\\y=-4$

Substitute ''x'' with '2' & 'y' with "-4":-

$\tt \cfrac{1}{2^{-2}\times \:2^{-3}\left(-4\right)^5}$

First let's solve $\tt 2^{-2}\times \:\:2^{-3}\left(-4\right)^5$

$\tt 2^{-2}\times \:2^{-3}=\boxed{\cfrac{1}{32} }$

$\tt \cfrac{1}{32}\left(-4\right)^5$

Calculate exponents:- -4^5= -1024

$\tt \cfrac{1}{32}\left(-1024\right)$

Remove parentheses, apply rule:- $\tt a\left(-b\right)=-ab$

$\tt-\frac{1}{32}\times \:1024$

$\tt \cfrac{1}{32}\times \cfrac{1024}{1}$

Apply fraction rule:-

$\tt -\cfrac{1\times \:1024}{32\times \:1}$

$\tt \cfrac{1024}{32}$

Divide numbers:-

$\tt -32$

Now that we're done factoring the denominator let's bring down the numerator which is ' 1 ':-

$\tt -\cfrac{1}{32}\;\; \bf Answer$

3 0

2 years ago

Read 2 more answers

1/2×-7=1/3(×-12) solve

alexgriva [62]

Answer:

X=18

Step-by-step explanation:

(1/2)*x-7 = (1/3)*(x-12) // - (1/3)*(x-12)

(1/2)*x-((1/3)*(x-12))-7 = 0

(-1/3)*(x-12)+(1/2)*x-7 = 0

x/2-1/3*(x-12)-7 = 0

(-1/3*2*(x-12))/2+x/2+(-7*2)/2 = 0

x-1/3*2*(x-12)-7*2 = 0

1/3*x-14+8 = 0

1/3*x-6 = 0

(1/3*x-6)/2 = 0

(1/3*x-6)/2 = 0 // * 2

1/3*x-6 = 0

1/3*x-6 = 0 // + 6

1/3*x = 6 // : 1/3

x = 6/1/3

x = 18

8 0

3 years ago

Marissa owns 135 shares of stock. Her dividend is $0.50 per share. How many shares can she buy of a different stock selling for

belka [17]

Answer:

- If the new stock is selling for $11 per share, Marissa can buy 6 shares.

- If the new stock is selling for 11 cents per share, Marissa can buy 613 shares.

Step-by-step explanation:

The question is not totally clear with the last statement.

- How many shares can she now buy of a different stock, selling for $11 per share?

- How many shares can she now buy of a different stock, selling for 11 cents per share?

Marissa has 135 shares of stock

Each share has a dividend of $0.50 per share,

The dividend from her 135 shares of stock would be 135 × $0.5 = $67.5

How many shares can she now buy of a different stock, selling for $11 per share?

= ($67.5/$11) = 6.14 ≈ 6 shares

If the new stock is selling for 11 cents per share, the number of shares she can buy = (67.5/0.11) = 613.6 ≈ 613 shares

Hope this Helps!!!

8 0

3 years ago

Read 2 more answers

This is about fractions i have three questions: 1} subtract 3 1/4 from 4 2/3 2}simplify 7 3/4 divided by 8/62 3} subtract the su

Scrat [10]

Answer:

1 5/12
60 1/16
11/35

Step-by-step explanation:

1) 4 2/3 - 3 1/4 = (4 -3) +(2/3 -1/4) = 1 + (8/12 -3/12) = 1 5/12

2) (7 3/4)/(8/62) = (31/4)(62/8) = (31/4)(31/4) = 961/16 = 60 1/16

3) (2 5/7 +3 2/3) -(4 2/3 +1 2/5) = (2 + 3 -4 -1) +(5/7 +2/3 -2/3 -2/5)

= 5/7 -2/5 = (25 -14)/35 = 11/35

_____

<em>Notes on arithmetic with fractions</em>

It can be helpful to make use of a common denominator when adding or subtracting fractions. Your knowledge of multiplication tables can help you find a suitable common denominator. Without too much effort, you can use the product of denominators as the common denominator, though doing that may require you to reduce the resulting fraction.

If you need a formula for addition or subtraction of fractions, this is it:

a/b + c/d = (ad +bc)/(bd)

A sign can be attached to any of these numbers, so that ...

a/b - c/d = (ad -bc)/(bd)

Using this formula is how we worked problem 3. It is essentially the same as rewriting each fraction to use the common denominator bd:

a/b = ad/(bd)

c/d = bc/(bd)

Of course, division of fractions (or any sort of division, actually) is the same as multiplying by the inverse (reciprocal) of the denominator. The mantra "invert and multiply" can be a useful reminder of this.

5 0

4 years ago

A gardener cuts a plant down by 1 5/8 inches.The plant then grows 9 1/4 more inches. What is the total change in the height of t

Fynjy0 [20]

Answer:

7 7/8 inches

Step-by-step explanation:

Example:

Start with a 3 inch plant

3 - 1 5/8 = 1 3/8

It grows 9 1/4 but you started at threelsdjf;lasjdflkjsdfl

9 1/4 - 1 3/8 = 7 7/8

6 0

3 years ago