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
Nataly_w [17]
1 year ago
15

Use your understanding of transformations and key features to write the slope-intercept equation of this linear function.

Mathematics
1 answer:
sveta [45]1 year ago
8 0

Answer:

y = -2x + 5

m = -1

b = 5

Step-by-step explanation:

Hello!

Slope - Intercept Form: y = mx+b

  • m = slope
  • b = y-intercept

<h3>Slope</h3>

The slope of the line is the rate of change, or how the graph changes in y as it changes in x.

Slope can be calculated by the formula: m = \frac{y_2 - y_1}{x_2 - x_1}

We need two points on the line to get the x and y-values. I'm going to choose points (0,5) and (4,-3).

Calculate Slope

  • m = \frac{y_2 - y_1}{x_2 - x_1}
  • m = \frac{5 - (-3)}{0 - 4}
  • m = -\frac{8}{4}
  • m = -2

The slope is -2.

<h3>Y-intercept</h3>

The y-intercept of the line is where the graph touches the y-axis (x = 0). It can be found by looking at the intersection of the graph and the axis.

The intersection happens at point (0,5), so the y-intercept is 5.

<h3>Equation</h3>

We found m, the slope, to be -2 and b, the y-intercept, to be 5. We can just plug it into the equation format.

Equation: y = -2x + 5

You might be interested in
Is 3/47 a rational number
lesya692 [45]
3/47 is a rational number

p/q is a rational number, where p and q are real integers, and q does not equal to 0.
8 0
3 years ago
Hello, can you explain this topic im in 6th grade ​
Andrew [12]

Hello there I hope you are having a great day :)

<u>The Topic Shifting digits:</u>

Shifting digits - Putting a digit in a different place. For a example Take the number 358 you would exchange the number from the hundreds that would equal 838 this meaning that you what to make a bigger number than a small one.

Examples:

1. 358 equal 838

2. 204 equal 402

3. 188 equal 881

You are just making them smaller to a greater number :)

Hopefully that helps you :)

 

<u></u>

5 0
2 years ago
Read 2 more answers
8 divided by 0.61 show me how you solved it
garik1379 [7]
8/0.61=13.114… then round if needed
5 0
2 years ago
when you reverse the digits in a certain two-diget number you increase it value by 27. What is the number if the sum of its digi
Fynjy0 [20]
The number is = 10x+y
if reverse the digits, the number is: 10y+x
The sum fo its digits is =  x+y=5
I suggest this system of equations:
(10y+x)-(10x+y)=27    ⇒9y-9x=27
x+y=5
We can solve this system of equations by equaliztion method
x=5-y

9y-9(5-y)=27
9y-45+9y=27
18y=27+45
18y=72
y=72/18
y=4

x=5-y
x=5-4=1

The number is: 10x+y=10(1)+4=14

Answer: the number is 14
3 0
2 years ago
Read 2 more answers
Allen is buying a video game that originally costs $49. He has a 10%-off
Annette [7]
The total amount Allen will need to pay for the video game is $48.96 as 49-0.1+0.06=48.96
7 0
3 years ago
Other questions:
  • Four times a number added to seven times the number equals 55
    9·2 answers
  • A City has a population of 360,000 people, suppose each year the population grows by 3% what will the population be after five y
    7·2 answers
  • The radius of a garden in the shape of a regular pentagon is 18 feet. Find the area of the garden
    15·1 answer
  • Indicate the equation of the given line in standard form.
    12·2 answers
  • Is 3•4³ equal to 192?
    7·2 answers
  • · A dead tree in the forest is decaying at a rate of 14% per year. If the tree weighs 1500 lbs
    11·1 answer
  • Which sequences are geometric?
    10·1 answer
  • The diameter of Circle terminates on the circumference of the circle at​ (3,0) and (3,−7).. Write the equation of the circle in
    5·1 answer
  • The polynomial x^3-kx^2+kx+2 has a factor of (x-2). What is the value of k?
    12·1 answer
  • (Please help, quickly if possible.)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!