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
Solve for x.<br> -5/4x = -30<br> Simplify your answer as much as possible.
zlopas [31]

Answer:

The answer is x=24.

Step-by-step explanation:

This is a one step equation, so it is simple, as shown.

In order to isolate the variable, you need to multiply each side of the equation by the fraction's reciprocal. In this case, it is -4/5.

Thus, x= -30 x -4/5

All things said, the answer is x=24.

I hope this helped!!

~ Penny

8 0
3 years ago
Read 2 more answers
A)
spin [16.1K]

Answer:

Step-by-step explanation:

B

5 0
3 years ago
Read 2 more answers
Suppose you deposit $1000 in a college fund that pays paid interest quarterly instead of annually. Find the account balance afte
BartSMP [9]

Answer:

$1,161.18 (assuming if interest rate is 3%)

Step-by-step explanation:

Kindly check the attached picture for explanation

3 0
3 years ago
The mean radius of Main Street Park is 15 km and the mean radius of Uptown Park is 8 km. What is the approximate difference in t
Temka [501]

Step-by-step explanation:

circumference= 3.142*diameter

Diameter of main Street park is 30

Diameter of uptown park is 16

3.142*30=94.26

3.142*16=30.272

94.26-30.272=43.988

round off to tenth =44.0km

5 0
2 years ago
The axis of symmetry of a parabola does not always contain which point?
nikklg [1K]
Vertex brainly pleaseee
8 0
3 years ago
Other questions:
  • CAN SOMEONE PLEASE HELP WILL GIVE 20 POINTS AND GIVE YOU A FIVE STAR RATING AND GIVE 20 POINTS
    14·2 answers
  • Give an example of a point that is the same distance from (3, 0) as it is from (7, 0). Find lots of examples. Describe the confi
    9·1 answer
  • Explain why multiplying two negative<br>numbers results in a positive product using a model.​
    10·1 answer
  • Need help with this have no idea how to do it
    14·1 answer
  • Write the decomposition that helps you, and then round to the given place value. Draw number lines to explain your thinking. Cir
    14·1 answer
  • Find the hieght of the tree​
    10·2 answers
  • A man purchased a magazine at the airport for $2.69. The tax on the purchase was $0.13. What is the tax rate at the airport? The
    9·1 answer
  • I need some help if you could
    7·1 answer
  • Write the sentence as an equation.<br><br> the quotient of 331 and u is the same as 13
    5·2 answers
  • Nada drives her car at an average speed of 60 miles per hour. She is planning a drive between 150 and 180 miles. Write and solve
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!