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
Mkey [24]
3 years ago
10

Graph each linear equation that passes through the given pair of points. Use graph paper.

Mathematics
1 answer:
Naya [18.7K]3 years ago
6 0

Answer:

The easier way to solve this is to find the two points in the coordinate axis, and just draw a line that passes through the two points.

But let's be more complete:

Let's find the equations for each line:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

1) Here the points are (2,2) and (4,5)

then the slope is:

a = (5 - 2)/(4 - 2) = 3/2

y = (3/2)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (2, 2)

2 = (3/2)*2 + b

2 = 3 + b

2 - 3 = b

-1 = b

y = (3/2)*x - 1

2) Here the points are (0,1/2) and (2,3/2)

then the slope is:

a = (3/2 - 1/2)/(2 - 0) = 1/2

y = (1/2)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (0, 1/2)

1/2 = (1/2)*0 + b

1/2 = b

y = (1/2)*x + 1/2

3) Here the points are (-1,2) and (5,0)

then the slope is:

a = (0 - 2)/(5 + 1) = -1/3

y = (-1/3)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-1, 2)

2 = (-1/3)*-1 + b

2 = 1/3 + b

2 - 1/3 = b

5/3 = b

y = (-1/3)*x + 5/3

4) Here the points are (-5,-3) and (-3,5)

then the slope is:

a = (5 + 3)/(-3 + 5) = -4

y = -4*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-3, 5)

5 = -4*-3 + b

5 = 12 + b

5 - 12 = b

-7 = b

y = -4*x - 7

Now that we have all the equations, we can find the graphs.

where the colors are:

(4) green

(3) orange

(2) Blue

(1) Gray.

You might be interested in
I dont know what this is no links please
Gnoma [55]

Answer:

Hamm i think si r or q mm sorry if it's wrong

7 0
3 years ago
Read 2 more answers
Plz help me! I will make you the brainliest! Thanks!
Volgvan

Answer:

4/5 is the most simplified form

Step-by-step explanation:

I hope this helps!

4 0
3 years ago
-3(y-5) simplify please
d1i1m1o1n [39]
Im pretty sure its 8y because two negatives equal a positive so 5 plus 3 and then you isolated the y so 8y. :)
5 0
3 years ago
Read 2 more answers
Pls help plsssssssssssssssssssssss
iren [92.7K]

Answer:

It would be 14 because since each book is 3.5cm thick times that by 4 and get 14.

8 0
3 years ago
Read 2 more answers
Write each polynomial in standard form. Identify the leading coefficient 10x-7+x4+4x3
JulijaS [17]
Polynomial in standard form:

x⁴ + 4x³ + 10x - 7

Leading coefficient:

1

How it should be written:

x⁴ + 4x³ + 10x - 7; 1
3 0
3 years ago
Other questions:
  • Which graph matches the exponential function f(x) = 2(1.5)x?
    15·1 answer
  • Birthweights at a local hospital have a normal distribution with a mean of 110 oz. and a standard deviation of 15 oz. what z-val
    5·1 answer
  • If i draw two tickets without replacement, what is the chance that the sum of the two tickers is greater thanor equla to 10?
    9·1 answer
  • How many days are in 1 millennia? I will mark the first correct answer brainliest!
    6·2 answers
  • Complete the equation of the line through (-9,7) and (-6,-3)
    15·1 answer
  • Is this a true or false equation? -5(3-9) 4 = 5q - 11
    8·1 answer
  • Triangle A B C is shown. The length of A B is 16, the length of B C is 14, and the length of A C is 12.
    10·2 answers
  • 12A+14+2B+6-3C+2A-3B+1=​
    6·2 answers
  • 1⁄7 + 1⁄2 + 3⁄4 =???
    6·2 answers
  • Im stuck in this exercise ​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!