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
Marysya12 [62]
3 years ago
12

Find the slope of the line.

Mathematics
1 answer:
pickupchik [31]3 years ago
6 0
There are several ways to do this.
I'll show you two methods.

1) Pick two points on the line and use the slope formula.
Look for two points that are easy to read. It is best if the points are on grid line intersections. For example, you can see points (-4, -1) and (0, -2) are easy to read.
Now we use the slope formula.

slope = m = (y2 - y1)/(x2 - x1)

Call one point (x1, y1), and call the other point (x2, y2).
Plug in the x1, x2, y1, y2 values in the formula and simplify the fraction.

Let's call point (-4, -1) point (x1, y1).
Then x1 = -4, and y1 = -1.
Let's call point (0, -2) point (x2, y2).
Then x2 = 0, and y2 = -2.

Plug in values into the formula:

m = (y2 - y1)/(x2 - x1) = (-2 - (-1))/(0 - (-4)) = (-2 + 1)/(0 + 4) = -1/4

The slope is -1/4

2) Pick two points on the graph and use rise over run.
The slope is equal to the rise divided by the run.
Run is how much you go up or down.
Rise is how much you go right or left.

Pick two easy to read points.
We can use the same points we used above, (-4, -1) and (-0, -2).
Start at point (0, -2).
How far up or down do you need to go to get to point (-4, -1)?
Answer: 1 unit up, or +1.
The rise is +1.
Now that we went up 1, how far do you go left or right top go to point (-4, -1)?
Answer: 4 units to the left. Going left is negative, so the run is -4.
Slope = rise/run = +1/-4 = -1/4

As you can see we got the same slope using both methods.
You might be interested in
Solve the following equation <br><br>6x-1=3 (2x+4)-1
DIA [1.3K]
6x - 1 = 3(2x + 4) - 1
Distribute
6x - 1 = 6x + 12 - 1
Combine like terms
6x - 1 = 6x + 11
Add 1 and subtract 6x from each side
0 = 12
The equation has no real solution
4 0
3 years ago
Read 2 more answers
If she can skip 300 feet in 20 seconds how far could she skip per second
elena55 [62]
300/20 = 15

she can skip 15 feet per second

hope this helps
5 0
2 years ago
Read 2 more answers
How much coffee will each person get if 3 people share 1/2 a pound of coffee?
Usimov [2.4K]

Answer:6 pounds you need to divide 3 by .5 and you will get 5

Step-by-step explanation:

5 0
3 years ago
Please help ASAP first right answer gets brainliest
ICE Princess25 [194]

Answer:

1. 31/99 2. 215/999 3. 6704/9999

3 0
3 years ago
Read 3 more answers
What is the value of c such that the line y=2x+3 is tangent to the parabola y=cx^2
satela [25.4K]

The value of c such that the line y = 2\cdot x + 3 is tangent to the parabola y = c\cdot x^{2} is -\frac{1}{3}.

If y = 2\cdot x + 3 is a line <em>tangent</em> to the parabola y = c\cdot x^{2}, then we must observe the following condition, that is, the slope of the line is equal to the <em>first</em> derivative of the parabola:

2\cdot c \cdot x = 2 (1)

Then, we have the following system of equations:

y = 2\cdot x + 3 (1)

y = c\cdot x^{2} (2)

c\cdot x = 1 (3)

Whose solution is shown below:

By (3):

c =\frac{1}{x}

(3) in (2):

y = x (4)

(4) in (1):

y = -3

x = -3

c = -\frac{1}{3}

The value of c such that the line y = 2\cdot x + 3 is tangent to the parabola y = c\cdot x^{2} is -\frac{1}{3}.

We kindly invite to check this question on tangent lines: brainly.com/question/13424370

3 0
2 years ago
Other questions:
  • Given a circle in the complex plane with a diameter that has endpoints at: -12 − i and 18 + 15i Find the center of the circle. +
    8·2 answers
  • Solve the system using subtitution<br> 3x + 2y = 23<br> 1/2x - 4 = y
    11·1 answer
  • Can you show the work
    8·1 answer
  • What type of equation is x^2 - 2x - 15 = 0 ? And how do you solve it? Please be as descriptive as you can! :)
    11·1 answer
  • The Pretty Pizza Company wants to open a new pizza place either on the north side of town or the south side of town. They want t
    14·2 answers
  • Find the surface area of the prism.<br> 8 m<br> 13 m<br> 12 m<br> 5 m<br> The surface area is
    12·1 answer
  • Danielle earns a 7.25% commission on everything she sells at the electronics store
    5·1 answer
  • Find the volume of a pyramid with a square base, where the side length of the base is
    6·1 answer
  • Write the equation of the line passing through the point (4, -9) with a slope of -2/3. Write the equation
    11·1 answer
  • M∠DFG=(2x+6)° and m∠EFG=(3x−11)°. Find the value of x.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!