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]
2 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]2 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
HELP PLS I DONT KNOW THIS ONE
inessss [21]

Answer:

1                  

-------------  

(x+2)(x-4)

Step-by-step explanation:

x+4                    x+3

-------------   * --------------

x^2+5x+6        x^2 -16

Factor

x+4                    x+3

-------------   * --------------

(x+3)(x+2)        (x+4)(x-4)

Cancel like terms

1                  1

-------------   * --------------

(1)(x+2)        (1)(x-4)

1                  

-------------    x cannot equal -3, -4, -2, 4  

(x+2)(x-4)

5 0
3 years ago
A painter leans a 13ft ladder against a house. The base of the ladder is 5ft from the house. How high on the house does the ladd
lakkis [162]

Answer:

13,92838827718412‬ft

Step-by-step explanation:

a² + b² = c²

a = 13ft

b = 5ft

169 + 25 = 194

c = √194

c = 13,92838827718412‬ft

6 0
3 years ago
Two neighboring stores sell apples. Sunny Market sells apples in groups of 5 for $3.20. Happy Mart sells apples in groups of 2 f
Kamila [148]

Ans: Sunny Market

Sunny Market as $3.20/5=$0.64 while and
Happy Mart $1.58/2=$0.79
6 0
3 years ago
Read 2 more answers
In the past year Ahmad watched 52 movies that he thought were very good. He watched 80 movies over the whole year. Of the movies
jok3333 [9.3K]
He rated 65% of the movies good
5 0
3 years ago
Find the area of the shape shown below.
SCORPION-xisa [38]
The correct is 40 hope I helped
4 0
3 years ago
Read 2 more answers
Other questions:
  • Maria estimates college tuition and fees, room and board, books, and other charges total $10,100. She will receive a scholarship
    13·1 answer
  • WILL MARK BRAINLIEST In this geometric sequence, what is the common ratio? 104, -52, 26, -13, ...
    7·1 answer
  • Of all rectangles with a fixed perimeter of​ p, which one has the maximum​ area? (give the dimensions in terms of​ p.)
    10·1 answer
  • A skateboard ramp make a 27 angle with the ground to the nearest foot how high is the ramp
    6·1 answer
  • Buffy is considering taking out a 14-year loan with monthly payments of $165 at an APR of 2.3%, compounded monthly, and this equ
    7·2 answers
  • Ray cuts out a figure that has 4 equal sides and no right angles. What is the best
    10·1 answer
  • If a line is parallel to y=-6x +3 , what is the slop of that line ?
    7·1 answer
  • the area of the retangler piece of foil is 11 1/4 square inches its length is 4 1/2 inches what is the width of the foil?
    12·2 answers
  • A certain westbound U.S. highway truck route near a river has a downhill grade of 9%. (a) Explain what a 9% downhill grade means
    12·1 answer
  • We found the correlation coefficient for the comparison between height and weight in babies to be -0.12. That meanscorrelation i
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!