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Viefleur [7K]
3 years ago
13

Which equation correctly represents the line in slope-intercept form? A. y = -1/4x-6 B.y=1/4x-6 C.y=-4x+6 D.y=4x+6

Mathematics
1 answer:
Misha Larkins [42]3 years ago
3 0

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (8, - 4) ← 2 points on the line

m = \frac{-4+6}{8-0} = \frac{2}{8} = \frac{1}{4}

The line crosses the y- axis at (0, - 6 ) ⇒ c = - 6

y = \frac{1}{4} x - 6 → B

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3 years ago
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Give your answer to four decimal places
Maslowich

Answer:

The characteristic of a logarithm is the number to the left of the decimal.

(The characteristic is like an exponent).

We are working with base 3 logs.  

So if we are increasing a number by multiplying it by the base of the logarithm, (in this case 3 times 3)  then we increase the characteristic by two.

Since 2 is the exponent of 3^2 then to get the log 3 of 72, we get the log3 (8) and increase it by 2.

1.8928 +2 = 3.8928

Had we been working with base 10 logs and we were multiplying a number by 100, We would increase the characteristic by 2 because 100 = 10^2.

Step-by-step explanation:

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3 years ago
–2x + 1 – (–7x + 3) = –4 + 3(x – 2)
natali 33 [55]

Answer:

x = -4

Step-by-step explanation:

–2x + 1 – (–7x + 3) = –4 + 3(x – 2)

-2x + 1 + 7x - 3 = -4 + 3x - 6

-2x + 7x - 3x = -4 - 6 - 1 + 3

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x = -8/2

x = -4

8 0
3 years ago
Type the slope-intercept equation
Zolol [24]

Answer: y=x-2

Step-by-step explanation:

P=(x1,y1), and Q=(x2,y2), we use this to find m because m=y2-y1/x2-x1, by using this you'll see that the slope equals one. So now we have our slope. To solve for b, you need to do b=y1-m*x1, or b=y2-m^x2, it doesn't matter which one you do because the results will be the same, but it is good to check over it. Now that you have your slope and y-intercept, you can put it into the equation y=mx+b, so the answer to the problem is y=x-2.

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Valentines Day! :-)

- Cutiepatutie ☺❀❤

3 0
3 years ago
The graph of the equation 2x2 + xy + y2 = 4 is the tilted ellipse pictured below; i.e. the points (x,y) in the plane that satisf
mihalych1998 [28]

Answer:

The slope of tangent at point (1,-2) is \frac{2}{3}.

Step-by-step explanation:

The given equation of ellipse is

2x^2+xy+y^2=4

Differentiate both sides with respect to x.

\frac{d}{dx}(2x^2+xy+y^2)=\frac{d}{dx}(4)

\frac{d}{dx}(2x^2)\frac{d}{dx}(xy)+\frac{d}{dx}(y^2)=\frac{d}{dx}(4)

4x+x\frac{dy}{dx}+y+2y\frac{dy}{dx}=0

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Calculate the value of \frac{dy}{dx} at (1,-2).

\frac{dy}{dx}_{(1,-2)}=-\frac{4(1)+(-2)}{(1)+2(-2)}

\frac{dy}{dx}_{(1,-2)}=-\frac{2}{-3}

\frac{dy}{dx}_{(1,-2)}=\frac{2}{3}

Therefore the slope of tangent at point (1,-2) is \frac{2}{3}.

3 0
3 years ago
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