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3 years ago

How do you find an equation for a line with a slope of 2/3 passing through (1,-4)

Mathematics

2 answers:

Igoryamba3 years ago

7 0

Answer:

The standard general equation for a straight line is:

y = mx + C. You said the slope of line is 2/3. m is always the slope in this context. So with the numerical value slope we have the line

Y = 2/3 X + C. You also said the line passes through the point (1, -4) that is the X value is 1 and the y value is -4. Substitute these value into the linear equation to find C, as follows

-4 = 2/3 + c. and so C = - 4 - 2/3 = -14/3 and so the equation of line is :

y = 2x/3 + 14/3 or if you like 3y = 2x + 14

It is important to remember that the convention of the bracketted numbers e.g. (1,-4) or ( 1, -4, z), say is that the first number in the brackets indicates the X value, the second the y value and the third, the z value in the case of 3 D coordinates.

mart [117]3 years ago

3 0

*Y=2/3x-6
I believe this is the answer!!! Hope you get a good grade

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2^5×8^4/16=2^5×(2^a)4/2^4=2^5×2^b/2^4=2^c A= B= C= Please I'm gonna fail math

aleksley [76]

9514 1404 393

Answer:

a = 3, b = 12, c = 13

Step-by-step explanation:

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

(a^b)/(a^c) = a^(b-c)

(a^b)^c = a^(bc)

___

You seem to have ...

$\dfrac{2^5\times8^4}{16}=\dfrac{2^5\times(2^3)^4}{2^4}\qquad (a=3)\\\\=\dfrac{2^5\times2^{3\cdot4}}{2^4}=\dfrac{2^5\times2^{12}}{2^4}\qquad (b=12)\\\\=2^{5+12-4}=2^{13}\qquad(c=13)$

_____

Additional comment

I find it easy to remember the rules of exponents by remembering that an exponent signifies repeated multiplication. It tells you how many times the base is a factor in the product.

$2\cdot2\cdot2 = 2^3\qquad\text{2 is a factor 3 times}$

Multiplication increases the number of times the base is a factor.

$(2\cdot2\cdot2)\times(2\cdot2)=(2\cdot2\cdot2\cdot2\cdot2)\\\\2^3\times2^2=2^{3+2}=2^5$

Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.

$\dfrac{(2\cdot2\cdot2)}{(2\cdot2)}=2\\\\\dfrac{2^3}{2^2}=2^{3-2}=2^1$

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3 years ago

Suppose that you have a square pyramid like the one pictured. Which plane section will produce a triangle?

omeli [17]

Answer:

Step-by-step explanation:

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3 years ago

Helppoopooo anyoneee

Citrus2011 [14]

Answer:

1) s > 6

2) d < 84

3) w >= 9

4) z <= 64

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4 0

3 years ago

Little help please? and thank you

Aneli [31]

Answer:

45.7

Step-by-step explanation:

Hello there!

We can calculate the missing angle using trigonometry

here are the trigonometric ratios

sin = opposite over hypotenuse

cos = adjacent over hypotenuse

tan = opposite over adjacent

We are given x's opposite side length (8) and x's adjacent side length (7.8)

we are given the information to use the trigonometric ratio tangent

so now we create an equation (remember tan - opposite over tangent)

$tan(x)=\frac{8}{7.8}$

now we solve for x

$\frac{8}{7} =1.025641026$

we're left with

$tan(x) =1.025641026$

finally we want to get rid of the tan

To do so we take the inverse of tan (arctan^-1) and apply it to each side

$arctan^-^1tan(x)=x\\arctan^-^1(1.025641026)=45.7252243$

so x = 45.7252243

finally we round to the nearest tenth and get that the answer is

45.7

4 0

3 years ago

Please answer this correctly without making mistakes

Ludmilka [50]

Answer:

10 9/20

Step-by-step explanation:

Hey there!

If Hillsboro to Campbell is 16 2/20 and Hillsboro to Oxford is 5 13/20,

we’ll do

16 2/20 - 5 13/20

Imrpoper form

322/20 - 113/20

322 - 113

209/20

10 9/20 miles from Oxford to Campbell.

Hope this helps :)

6 0

3 years ago

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How do you find an equation for a line with a slope of 2/3 passing through (1,-4)​

How do you find an equation for a line with a slope of 2/3 passing through (1,-4)