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
Kamila [148]
2 years ago
6

Find the equation of the line with slope m=1/4 that contains the point (4,5).

Mathematics
1 answer:
sladkih [1.3K]2 years ago
7 0

Answer: x - 4y = -16

Step-by-step explanation: Since we're given a point and a slope, we can write the equation of this line using the point-slope formula.

<h2>y  -  y₁  =  m(x  -  x₁)</h2><h2 />

The given point, (4, 5), represents (x₁, y₁).

So if we plug all our given information into the formula,

including our slope of 1/4, we get y - 5 = 1/4(x - 4).

To put our equation in standard form, first, distribute

the 1/4 through the parentheses.

So we get y - 5 = 1/4x - 1.

Remember that standard form cannot have any fractions in it so our next step is to multiply both sides of the equation by 4 to get rid of the fraction.

That gives us 4y - 20 = x - 4.

Now moves the -20 to the right side by adding 20 to both sides.

So we get 4y = x + 16.

Now subtract x from both sides to get -x + 4y = 16.

Finally, our coefficient on our x term must be positive so we

divide both sides by -1 to get x - 4y = -16.

You might be interested in
Which equation represents the graphed function?
NemiM [27]
Y=1/4-2 is the correct answer. you go up one and over four. the y-intercept is -2
7 0
3 years ago
Read 2 more answers
Witch of the following numbers is clostest to 6?
Reika [66]
3,2,1,6 are all factors of 6.
6 0
3 years ago
Find the median and the mode of the data.
spin [16.1K]

Answer:

mean=8 median =7 mode =6

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Two sides of a triangle measure 14 inches and 8 inches. which cannot be the length of the remaining side?
horrorfan [7]
1. The "triangle inequality" states that any of the sides of the triangle, is larger than the difference of the other 2 sides (the larger minus the smaller), and it is smaller than the sum of them.

2. So the third side of this triangle must be larger than 14-8=6 (in) and smaller than 14+8=22 (in)

3. So let a denote the remaining side, then   6 < a < 22, which means a can be any number in between 6 and 22 inches.
3 0
2 years ago
What is the solution of 35 - (17-2) ÷ 5
ohaa [14]

32

Start with the parentheses: 17 - 2 = 15. Next is dividing: 15 / 5 = 3. And finally subtracting: 35 - 3 = 32.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Using 5 letters followed by 2 ​digits, how many passwords are​ possible?
    14·1 answer
  • Suppose the volume of a cylinder is 169.65 ft cubes and the height is twice the radius what is the radius of the cylinder.
    10·1 answer
  • How do I graph a rational function with a y intercept. Example 3x^2-1/2x+4 +1
    12·1 answer
  • Anyone know the answers to 1, 2, 3, 4, 5
    5·1 answer
  • It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.505 cups of sugar. How many batches of cookies ca
    11·2 answers
  • Find the value of x.
    14·2 answers
  • Evaluate the expression: a(b – c) if a = -8, b = 12, and c = 4
    8·2 answers
  • Jackie wants to serve a fruit punch mature at her birthday party. She experiments to see which type of mixture tastes the best.
    5·1 answer
  • The numbers below are the golf score for the UGA golf team. 68, 70, 72, 73, 74, 75. What is the mean AND the mean absolute devia
    6·1 answer
  • The expression 0.75p represents the discounted price of a pair of jeans. Which expression is equivalent to the discounted price
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!