1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leno4ka [110]
3 years ago
15

A line passes through the point, (−8,7) and has a slope of −5/4. Please help...

Mathematics
1 answer:
o-na [289]3 years ago
8 0

Answer:

5x + 4y + 12 = 0

Step-by-step explanation:

Start with the point-slope equation of a straight line:  y - k = m(x -  h):

Here we are given the point (h, k):  (-8, 7) and the slope m = -5/4.  Inserting this info into the equation give above, we get:        y - 7 = (-5/4)(x + 8).

We must put this equation into "standard form" Ax + By + C = 0.

Multiply all three terms by 4 to remove fractions:  4y - 28 = -5(x + 8), or

4y - 28 + 5x + 40 = 0

Rearranging these terms, we get 5x + 4y + 12 = 0, which is the desired equation in standard form.

You might be interested in
Which statements accurately describe the function f(x) = 3(16)^3/4? Check all that apply.
uysha [10]

Answers:

These are the statements that apply:

The initial value is 3.

The range is y >0.

The simplified base is 8.

Explanation:

1) Given expression:

f(x)=3(16)^{\frac{3}{4} x

2) Check every statement:

a) The initial value is 3?

initial value ⇒ x = 0 ⇒

f(0)=3(16)^{0}=3(1)=3

∴ The statement is right.

b) The initial value is 48?

Not, as it was already proved that it is 3.

c) The domain is x > 0?

No, because the domain of the exponential functions is all the Real numbers.

d) The range is y > 0?

That is correct, the exponential function is continuous, and monotonon increasing.

The limit when x → - ∞ is zero, but y never reaches zero, and the limit when x → ∞ is + ∞, meaning that the range is y > 0.

e) The simplified base is 12?

This is how you simplify the base:

3(16)^{\frac{3}{4} x}=3{{(16}^{(3/4)})}^x=3(16^{3/4}})^{x}=3((2^4)^{3/4})^x=3(2^3)^x=3(8)^x

Which shows that the simplified base is 8 (not 12).

f) The simplified base is 8?

Yes; this was just proved.

6 0
3 years ago
Read 2 more answers
Please help with 7 and 8
Serhud [2]

For #7 - part a: greatest common factor (GCF) is 5.

Part b: cross out everything BUT 10 & 20.

6 0
3 years ago
Read 2 more answers
This rectangular prism is created with centimeter cubes. how many cubed centimeters make up this prism? rectangular prism compos
VladimirAG [237]
5 i think not sure tho
4 0
3 years ago
137,638+52,091 round
hichkok12 [17]

137,638+52,091 is 189729.

6 0
3 years ago
How do you say 750 in words
Agata [3.3K]

750 in word form:

Seven Hundred Fifty

8 0
3 years ago
Read 2 more answers
Other questions:
  • Find the cosine ratio of angle Θ. Clue: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no
    9·1 answer
  • A point (-7, -6) is rotated counterclockwise about the origin to map onto (-6, 7). The
    8·1 answer
  • Using the greatest common factor for the terms, how can you write 12 + 90 as a product?
    6·2 answers
  • (10 POINTS AND BRAINLIEST FOR BEST)Which number sentence represents the model?
    10·2 answers
  • ΔBCD is translated to become ΔB’C’D’.
    12·2 answers
  • Ethan has partially filled the prism with 8 unit cubes.
    13·2 answers
  • jodi and laura went out to dinner at their favorite sandwich shop . if their bill w's $21.95 and they wanted to leave a 15% tip
    10·1 answer
  • HELP!!! im in a timed test
    10·2 answers
  • Please help its a test!
    11·1 answer
  • 20 POINTS
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!