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
andre [41]
3 years ago
5

Can you explain how to do this

Mathematics
1 answer:
julia-pushkina [17]3 years ago
7 0
Because I see a graph in the picture, I am assuming you need to graph the equations. The two equations are in slope-intercept form. They are in the form
y = mx + b

Where m is the slope and b is the y-intercept. That is why it is called the slope-intercept form.

If you want to graph a slope-intercept form equation, first plug in a value for x then compute it to get the y-coordinate.

First, let's get some points with the equation y = 4x + 3

We will plug in three values for x. 0, 1, and 2.

When x = 0

y = 4(0) + 3
y = 3

When x = 1

y = 4(1) + 3
y = 7

When x = 2

y = 4(2) + 3
y = 11

Now we have the points (0, 3), (1, 7), and (2, 11)

These points are called ordered pairs. Where the first number is the x-coordinate and the second number is the y-coordinate.

The ordered pairs tell you how many times you move your point away from the origin. The origin is (0, 0).

The first number of an ordered pair tells you how many times to move in the x direction and the second number how many times in the y direction.

Now graph the second equation. y = -x - 2

Just plug in some values for x.

I picked 0, 1, and 2.

When x = 0

y = 0 - 2
y = -2

When x = 1

y = -1 - 2
y = -3

When x = 2

y = -2 - 2
y = -4

Now we have the points (0, -2), (1, -3), and (2, -4)
Now plot those points and draw a line through them.

If you need to find the intersection of the equations y = 4x + 3 and y = -x - 2 you need to find where they intersect. Or in other words, share a common point. 

After playing around with the numbers, I got the intersection point for the both of the equations.

It is the ordered pair (-1, -1). This the solution to both of the equations. If you plug in the ordered pairs into both of the equations, they will show it belongs to their graphs.


Plug in the values for y = 4x + 3

-1 = 4(-1) + 3
-1 = -4 + 3
-1 = -1

Plug in the values for y = -x - 2

-1 = -(-1) - 2
-1 = 1 - 2
-1 = -1

So, this ordered pair is on both equations!
You might be interested in
Subtract a number plus 6 from a number minus 10
mash [69]

Answer:

(n+6)-(n-10)

Step-by-step explanation:

n is the number.

plus means addition

minus means subtraction

6 0
3 years ago
Which values are outliers ?
Minchanka [31]
5.8 0.8 5.9 6.1 and 10.9 are all correct answers.

Hope this Helped!

;D
:D
:)
;)
XD
:'D
4 0
3 years ago
Read 2 more answers
Money in a bank account that compounds interest by some percentage acts- A. Linearly B. Exponentially C negatively D. Like a fra
vovikov84 [41]

Answer:

exponentially

Step-by-step explanation:

6 0
3 years ago
Suppose f(x) = 12x – 1,400 and g(x) = 12x – 1,535. Describe the transformation of the graph of f to the graph of g. Group of ans
m_a_m_a [10]
The graph is translates down 135 units, because you can see how the y-intercept decreased by 135 units from f(x) to g(x).
3 0
3 years ago
Given a graph for the transformation of f(x) in the format g(x) = f(kx), determine the k value.
AlexFokin [52]

Answer: C

1/4

Step-by-step explanation:

Given a graph for the transformation of f(x) in the format g(x) = f(kx),

This means that for every value of x, f(x) will take the value it would have had at kx, that is, the graph of f(x) is stretched by a factor of 1/k in the direction of positive x-direction.

Therefore, the value of k will be 1/4.

3 0
3 years ago
Other questions:
  • Y=-1/4x+6 when y equals 4
    14·1 answer
  • Please help me with this question, image attached.
    12·1 answer
  • Two trains leave New York at the same time heading in opposite directions. Train A travels at 4 5 the speed of train one. After
    9·1 answer
  • Exactly how many planes contain points J, K, and N?<br> 0<br> 1<br> 2<br> 3
    10·2 answers
  • What is the solution set of the equation 3x2 = 48 ?​
    7·1 answer
  • A chemist creates a solution that contains the following ingredients and quantities
    11·2 answers
  • Solve the system 2x+4y=16 5x +3y=19 then find the value of y/x
    5·1 answer
  • I will give branliest to the first person to answer!
    5·1 answer
  • Find a equation of the line that passes through the points (-2,-5) and (4,25) express the final answer in slope - intercept form
    6·1 answer
  • I need help fast plz
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!