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
vodomira [7]
1 year ago
6

Do I have to solve this before graphing it and if so how do I go about it?

Mathematics
1 answer:
defon1 year ago
5 0

Given the System of Equations:

\begin{cases}y=4x-1 \\  \\ y=x-4\end{cases}

The exercise asks for solving it graphically. Then, in this case, you need to graph both lines in order to determine the solution of the system.

In order to graph it, you can find the x-intercepts and the y-intercepts:

1. It is important to remember the Slope-Intercept Form of the equation of a line:

y=mx+b

Where "m" is the slope of the line and "b" is the intercept.

In this case, you can identify that the y-intercept of the first line is:

b_1=-1

And the y-intercept of the second line is:

b=-4

2. By definition, the value of "y" is zero when the line intersects the x-axis.

Then, you need to substitute the following value of "y" into each equation and then solve for "x", in order to find the x-intercept of each line:

y=0

- For the first line, you get:

\begin{gathered} y=4x-1 \\ 0=4x-1 \\ 1=4x \\  \\ \frac{1}{4}=x \\  \\ x_1=0.25 \end{gathered}

- For the second line, you get:

\begin{gathered} y=x-4 \\ 0=x-4 \\ 4=x \\ x_2=4 \end{gathered}

3. Now you know that the first line passes through these two points:

(0.25,0);(0,-1)

And the second line passes through these two points:

(4,0);(0,-4)

4. Knowing those points, you can graph the lines:

Notice that the line intersect each other at

You might be interested in
What is the median of this data set?
9966 [12]
The answer is C. 22 :)
6 0
3 years ago
Read 2 more answers
Solve the equation sine Ф=0.6792 for 0°≤Ф≤360
Sergio [31]

Answer:

42.78⁹, 137.22⁹.

Step-by-step explanation:

sine Ф=0.6792

Angle Ф in the first quadrant = 42.78 degrees.

The sine is also positive in the second quadrant so the second solutio is

180 - 42.78

= 137.33 degres.

3 0
3 years ago
Help<br> plz (A) 4.00<br> (B) 0.25<br> (C) 1.00<br> (D)0.10
Mademuasel [1]

Answer:

B. 0.25

Step-by-step explanation:

The constant proportionality is 0.25 because the total cost is 0.25 or 1/4 of the number of tickets sold.

8 0
3 years ago
Read 2 more answers
Can y’all help me on question 40?!
Anastaziya [24]

Answer:

t = 3c

Step-by-step explanation:

3 0
3 years ago
Carlos has a string that is 24 inches long he wants to divide it into three equal parts write an equation to find how long each
katrin2010 [14]

Answer: 24 ÷ 3


Step-by-step explanation: You do 24÷3 because he has a string that is 24 inches long and if he wanted to divide it into 3 equal pieces . You would get 8 inches long for each piece (8x3) or (3x8)


4 0
3 years ago
Other questions:
  • wrote the fraction or mixed number as a money amount, and as a decimal in terms of dollars 65/100 and 1 48/100
    11·2 answers
  • How do you write 214 135 in words
    5·2 answers
  • What is the surface area of the box 12in 4in 3in
    11·1 answer
  • After the party, 3 1⁄4 pecan pies remained. The next day, Edward's family ate 1 1⁄4 of a pie. How many pecan pies were left?
    6·2 answers
  • A study of consumer smoking habits includes A people in the 18-22 age bracket (B of whom smoke), C people in the 23-30 age brack
    14·1 answer
  • Rename, 1/2 and 1/3 so that the denominators of the renamed fractions ar
    7·2 answers
  • Y=2^x+6 domain and range
    11·1 answer
  • Did u guys know that the word 'googl' is prohibited on this app?
    10·2 answers
  • The measure of ZPQS is 180°. The measure of ZRQS is 30°
    13·1 answer
  • Help! Please i need it badly
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!