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
sattari [20]
3 years ago
13

A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?

Mathematics
1 answer:
KatRina [158]3 years ago
3 0

Answer:

y=3x+4

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is equal to 0)

<u>1) Determine the slope (m)</u>

m=\frac{y_2-y_1}{x_2-x_1} where two points that the line passes through are (x_1,y_1) and (x_2,y_2)

We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.

Plug these points into the equation

=\frac{10-4}{2-0}\\=\frac{6}{2}\\=3

Therefore, the slope of the line is 3. Plug this into y=mx+b

y=3x+b

<u>2) Determine the y-intercept (b)</u>

The y-intercept is given; it is 4. Plug this back into y=3x+b

y=3x+4

I hope this helps!

You might be interested in
Write the formula, substitution, and solve. A parallelogram is being painted on the wall of a playroom. The parallelogram measur
Andreas93 [3]

Answer:

Area: 40

Step-by-step explanation:

To find the area of a parallelogram you multiply the base times the height, or the length times the height. This is why you multiply 5x8 to get 40. The substitution could be 5 x 8 = X

X is the area.

6 0
3 years ago
n HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you tha
Dominik [7]

Answer:

0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 17.39 ppm

Standard Deviation, σ = 4.25 ppm

Sample size = 11

We are given that the distribution of printing speed is a bell shaped distribution that is a normal distribution.

Formula:  

z_{score} = \displaystyle\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}  

P(printing speed of the sample is greater than 17.99 ppm.)  

P(x > 17.99)  

P( x > 17.99) = P( z > \displaystyle\frac{17.99-17.39}{\frac{4.25}{\sqrt{11}}}) = P(z > 0.468229)\\\\P( z > 0.468229) = 1 - P(z < 0.468229)

Calculating the value from the standard normal table we have,

1 - 0.679 = 0321= 32.1\%\\P( x > 17.99) = 32.1\%

Thus, 0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.

8 0
3 years ago
I need help with elimination with substitution. The equations are 3x+4y=19 and 3x+6y=33
olganol [36]
For elimination, multiply one whole equation by negative one (-1), then add or subtract according to your signs. After that, it will be a one-step equation.

3x + 4y = 19          3x + 4y = 19             3x + 4y = 19          -2y = -14        y = 7
3x + 6y = 33     -1 (3x + 6y = 33)          -3x - 6y = -33          -14 / -2

Then you would go back and substitute the value of (y) back into either equation and then solve for the remaining variable (x). Finally, use both values to make an ordered pair.

3x + 4y = 19          3x = -9          x = -3          (-3 , 7)
3x + 4(7) = 19       (-9 / 3)
3x + 28 = 19          

Good Luck

4 0
3 years ago
Solve the following system of equations graphically. x = -5 y = -6 What is the solution set ????
Dmitry_Shevchenko [17]
Your answer would be B.

Hope this helps.

8 0
3 years ago
What does k represent in the equation y=kx
Damm [24]

Answer:

Direct Variation Use y=kx. Means “y varies directly with x.” k is called the constant of variation. “y varies inversely with x.” k is the constant of variation.

Step-by-step explanation:

6 0
4 years ago
Other questions:
  • Ramon took out a car loan with an interest rate of 10 percent and paid $100 in loan application fees. What term describes the am
    9·1 answer
  • Kurtis is expecting a promotion which, hopefully, comes with a raise. He would like his raise to help him correct a high debt-to
    8·1 answer
  • -2xy(3xy^3 – 5xy+ 7y^2)
    12·1 answer
  • 210 at 8% for 7 years
    6·1 answer
  • Olivia are two times as much salad as Reagan. If Reagan ate R salad, which equation can be used to find the amount of salad Oliv
    11·1 answer
  • Farmer has 30 animals with 66 legs how many cows and chichkens
    13·2 answers
  • Sausages come in packets of 6. Bread rolls come in packets of 8. Brian wants to buy enough packs of sausages and rolls so that t
    7·1 answer
  • The forecast says the probabity for rain is 70%. What is the proabbaity it will not rain?
    15·1 answer
  • How would you find the slope of the line containing the points P(4, 9) and R(57, 73)?
    15·1 answer
  • Ed buys a box of eggs costing £2.10, two packs of bacon for £2.90 each and two tins of baked beans. He pays with a £10 note and
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!