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
castortr0y [4]
2 years ago
6

Write the slope-intercept form of the equation of each line

Mathematics
2 answers:
navik [9.2K]2 years ago
8 0

Answer: y= 3x-1

Step-by-step explanation:

Equation of a straight line:

y = mx + b ------(i)

Step by Step Solution:

Step 1: Calculating Slope (m).

m =

y2-y1

x2-x1

m =

2--1

1-0

m =

3

1

m = 3

Now putting value of m in equation (i)

y = 3x + b -----(ii)

Step 2: Calculating Y-intercept (b).

Lets choose the first point, (0,-1) for calculating y-intercept:

y = mx + b

-1 = 3(0) + b

-1 = 0 + b

-1 = b

b = -1

olga_2 [115]2 years ago
6 0

Answer:

y=3x-1

Step-by-step explanation:

Hi there!
We are given a line, and we want to find the equation of that line in slope intercept form

Slope-intercept form is given as y=mx+b, where m is the slope, and b is the y intercept

First, we need to find the slope of the line

The slope of the line can be calculated from 2 points with the equation \frac{y_2-y_1}{x_2-x_1}, where (x_1, y_1) and (x_2, y_2) are points

We can take any 2 points from the line to help us; for example, we can take (0,-1), and (1,2), which are both on the line

We can label the values of the points to avoid confusion while we calculate the slope:
x_1=0\\y_1=-1\\x_2=1\\y_2=2
Now let's plug these values into the formula to solve for the slope:

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{2--1}{1-0}

Simplify:

m=\frac{2+1}{1-0}

Add/subtract:

m=\frac{3}{1}

m=3

The slope of the line is 3
Remember that our equation is y=mx+b; we can plug 3 as m into the equation right now.

This is our equation so far:

y=3x+b

Now we need to find b
The y intercept (b) is the point in where the line intersects with the y axis; the value of x is 0 at that point

Since we have the graph given, we can find the value of the y intercept by finding the point that crosses (intersects) the y axis.

That point would be (0, -1)

The value of b is simply the value of y at this point; in this case, the value of b is -1

So plug -1 as b into the equation:

y=3x-1

Hope this helps!

Want another similar problem for practice? Take a look here: brainly.com/question/10735732

You might be interested in
The ratio of boys to girls at the dance was 8 to 4. How many girls were at the dance if there were 88 boys at the dance?
nevsk [136]

88/8=11.

So multiply 4 by 11.

4x11=44

So the ratio is 88:44.

There are 44 girls at the dance

---

hope it helps

5 0
3 years ago
Help with #12, 13, 14, 15! I will mark u as brainliest answer
son4ous [18]
12) LCM of 2 & 12 is 12 
Answer: (F)

13) (25 x 8) x 4
Step 1: Order of operations do parenthesis first: (25 x 8) = 200
Step 2: Multiply: 200 x 4 = 800
Answer: 800

14) I would plug each value in to see which works
D) 10x + 5y = 10(6) + 5(9) = 60 + 45 = 105

Answer is (D)

15) 2 x 12 - 8 (divided by) 2^2
Exponent first: 2 x 12 - 8 divided by 4
Multiplication/ Division: 2 x 12 = 24 and -8 divided by 4 = -2
Add/Subtract: 24 - 2 = 22

Answer: (I)


7 0
3 years ago
What is an estimate for the square root of 150? (Do not find the exact value) Show work
Umnica [9.8K]

Answer:

Somewhere between 12 and 13, perhaps 12.25

Step-by-step explanation:

This is a (rather) simple explanation:

Look for 2 square numbers that are either side of 150

In this case, it is 144 and 169

The square root of 144 is 12 and the square root of 169 is 13

Therefore we can estimate that the square root of 150 is somewhere between 12 and 13.

As 150 is a lot closer to 144 to 169, I would estimate around 12.25 but you do not need an exact value :)

5 0
2 years ago
Distribute the problem <br> 2(3-8y)
77julia77 [94]

Answer:

<h3>6-16y</h3>

Step-by-step explanation:

Hello!

apply distributive law

a(b - c) = ab - ac

2(3-8y)=2.3-2.8y

  • 2.3=6
  • -2.8y= -16y

=6-16y

Hope it helps!

6 0
1 year ago
Need help asap please
cupoosta [38]

Answer:

c = 5

Step-by-step explanation:

IT'S THE THREE FOUR FIVE TRIANGLE!!

3^2 + 4^2 = c^2

√25 = c

c = 5

4 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP [99 POINTS] ONE QUESTION
    8·2 answers
  • draw a bar model that shows how the number of hours in March compared with the number of hours in February of this year
    11·1 answer
  • How to change a quadratic equation into intercept form?
    6·1 answer
  • Is 787887888.. a rational number?​
    11·1 answer
  • The sum of two numbers is 51 and the product of the two numbers is 230. What is the difference of the two numbers?
    10·1 answer
  • I’ve been stuck on this question, please help!
    10·2 answers
  • Evaluate plzzz help am giving brainliest
    12·1 answer
  • A student solved the equation 2x+2=10 using algebra tiles. She incorrectly says the solution is 6 . Solve the equation. What mis
    10·2 answers
  • Ryan has a 28 foot board. He needs to cut it into 24 equal length parts. How long should each section of the board be?
    15·2 answers
  • Complete the square to rewrite the following equation. Identify the center and radius of the circle. You must show all work and
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!