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
Georgia [21]
3 years ago
11

The relationship shown is linear. Write the equation of the line in slope intercept form (y=mx+b).

Mathematics
1 answer:
slega [8]3 years ago
5 0

Answer:

y=mx+b                Example:

Graph the equation

y−2x=1

rewrite in slope-intercept form

y=2x+1

Identify the slope and the y-intercept

m = 2 and b = 1

Plot the point corresponding to the y-intercept, (0,1)

picture23

The m-value, the slope, tells us that for each step to the right on the x-axis we move 2 steps upwards on the y-axis (since m = 2)

picture24

And once you have your second point you can just draw a line through the two points and extend it in both directions.

picture25

You can check to see that the line you've drawn is the correct one by substituting the coordinates of the second point into the original equation. If the equation holds true than the second point is correct.

Our second point = (1, 3)

y−2x=1

3−2⋅1=3−2=1

Our second point is a solution to the equation i.e. the line we drew is correct.

A line that passes through the origin has a y-intersect of zero, b = 0, and represents a direct variation.

y=mx

In a direct variation the nonzero number m is called the constant of variation.

You can name a function, f by using the function notion

f(x)=mx+b

f(x) is another name for y and is read as "the value of f at x" or "f of x". You can use other letters than f to name functions.

A group of functions that have similar characteristics are called a family of functions. All functions that can be written on the form f(x) = mx + b belong to the family of linear functions.

The most basic function in a family of functions is called the parent function. The parent function of all linear functions is

f(x)=x

Step-by-step explanation:

You might be interested in
Solve this system of equations using substitution. Put your answer in ordered pair form, (x,y).
Gelneren [198K]
2x + 5y = 2
-3x - y =-3

-3x - y = -3
y = 3x - 3

substitute y = 3x - 3 into the first equation.

2x + 5y = 2
2x + 5(3x - 3) = 2
2x + 15x - 15 = 2
17x - 15 = 2

solve for x in 17x - 15 = 2

17x - 15 = 2
17x = 2 + 15
17x = 17
x = 1

substitute x = 1 into y = 3x - 3

y = 3x - 3
y = 3(1) - 3
y = 3 - 3
y = 0

(1, 0) << the answer

hope this helped, God bless!
8 0
3 years ago
Carla packed this box with one centimeter cubes what is the volume of the box plus is it cubic centimeters or just centimeters o
vesna_86 [32]

Cubic centimetres since they are cubes. Did you add any picture of the question? There seems to be none.

7 0
3 years ago
Read 2 more answers
Write 4.625 as a mixed number in simplest form
Zarrin [17]
4 625/1,000 to 4 25/40 to 4 5/8
4 0
3 years ago
Pls need help... brainliest :))
belka [17]

Answer:

I am not the best in this type of math, the best thing I can do is help you.

You see that there is a pattern in the chart? X adds 2 every column, and Y adds 4 every column.

I believe the slope simplified is 2/1, if you are following y/x. If not, then the other way around.  

Unfortunately, I can't help you with the rest of the problem, but I hope you can get a good idea of what your supposed to do.

Have a good day.

6 0
3 years ago
Which if the following best describes this graph ?
Lelu [443]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Find a − b when a = −7 and b = 11.
    15·1 answer
  • The sum of 4x and 7 is less than or equal to 39.<br><br> PLS HELP
    8·1 answer
  • Which are the roots of the quadratic function f(b) = 62 – 75? Select two options.
    15·1 answer
  • Gracie read 150 pages of a book she got for her birthday the book is 227 pages long whats the right equation
    6·1 answer
  • 3(x+2y)=7y-9 when y=3
    5·2 answers
  • Sarah bought 96 pencils and 84 erasers to make gift bags for her friends.
    7·2 answers
  • BRAINIST &amp; 20 POINTS <br><br><br> *random answers will be reported*
    6·1 answer
  • Robert takes 10 days more than Peter to complete a job. If they work together they will
    9·1 answer
  • There are 6 orange marbles, 2 red marbles, 3 white marbles, and 4 green marbles in a bag. Once a marble is drawn, it IS replaced
    6·1 answer
  • f(x)=(2x−1)(3x+5)(x+1) has zeros at x= -5/3, x= -1 and x= 1/2 What is the sign of f on the interval -5/3
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!