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
aliina [53]
3 years ago
13

Write the equation of a line that passes through the point (1,4) and has a slope of 9.

Mathematics
1 answer:
Kryger [21]3 years ago
4 0

Answer:

y=9x-5

Step-by-step explanation:

You want to find the equation for a line that passes through the point (1,4) and has a slope of 9.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 9. So you can right away fill in the equation for a line somewhat to read:

y=9x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(1,4). When x of the line is 1, y of the line must be 4.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: b is what we want, the 9 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (1,4).

So, why not plug in for x the number 1 and y the number 4? This will allow us to solve for b for the particular line that passes through the point you gave!.

(1,4). y=mx+b or 4=9 × 1+b, or solving for b: b=4-(9)(1). b=-5.The equation of the line that passes through the point (1,4) with a slope of 9

is

y=9x-5

You might be interested in
An athlete runs 8 miles in 50 minutes on a treadmill. At this rate how far can the athlete run in 1 hour
alexdok [17]
Set it up into ratio or proportion

8/50 :: x/60
3 0
3 years ago
Read 2 more answers
Twenty percent multiply by x is what
elena-s [515]
Well I need more details for x can you screenshot? It’s usually x*0.20 but I need more details to help you
7 0
3 years ago
Kelly bought a new car for $20,000. The car depreciates at a rate of 10% per year. Write an equation to model the car's value.
Anna71 [15]

y=20,000-.10x

with x being the number of years

3 0
3 years ago
Read 2 more answers
Please solve with explanation (high points)
IgorLugansk [536]

So, we know that:

A=\dfrac{1}{2}ab\\P=a+b+c\\a^2+b^2=c^2

We also know that (a+b)^2=a^2+2ab+b^2. We will use that fact to find c in terms of A and P.

A=\dfrac{1}{2}ab\Rightarrow 2ab=4A\\P=a+b+c\Rightarrow a+b=P-c

Therefore:

(P-c)^2=c^2+4A\\P^2-2cP+c^2=c^2+4a\\2cP=P^2-4A\\c=\dfrac{P^2-4A}{2P}

7 0
2 years ago
Part 2. State what additional information is required in order to know that the triangles are congruent by ASA.​
Helga [31]
<h3>Answer: Choice D. \angle SQR \cong \angle XQR</h3>

The red angle markers show those two angles are congruent. That's one "A" of "ASA". The S refers to a congruent pair of sides. We don't have any tickmarks to indicate congruent pairs; however, we do know that QR = QR is a shared side that overlaps (reflexive theorem). So this is the "S" in "ASA".

The thing missing is the angle Q of the top triangle, and also of the bottom triangle as well. If we know those two angles are congruent, then we have enough info to use ASA. More specifically, if we know that \angle SQR \cong \angle XQR, then we can use ASA.

One thing to notice is that the other answer choices involve side lengths and not angles. This implies that if A, B or C were one of the answers, then we would have something like SAS or SSS. But instead we want ASA. So we can immediately rule choices A,B, and C out.

7 0
3 years ago
Other questions:
  • 20 POINTS FOR ONE QUESTION!!!!!!!!!!!!!!!!!!!!!!
    5·1 answer
  • A beetle was running along a number line, the bug ran from 24 to 78. What distance did it cover? If this run took the bug 9 seco
    6·1 answer
  • Cece is finding the surface area of a square pyramid by finding the sum of the areas of its faces. Which statement best describe
    10·2 answers
  • 78x + (-34y) - (-23x) - y
    7·1 answer
  • Find the total surface area of the<br> following square pyramid:<br> 4 cm<br> 6 cm<br> SA = [?] cm^2
    15·1 answer
  • 3.If a kilogram of pork cost Php 105.75,how much is the cost of 5.5 kilogram?​
    14·2 answers
  • Which sentence uses correct grammar to describe the situation?
    13·1 answer
  • I need help!! ASAP!!
    9·1 answer
  • 10
    10·1 answer
  • ||25 POINTS WILL GIVE BRAINLIEST||
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!