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
Ainat [17]
2 years ago
13

10. Write an equation in point-slope form and slope-intercept form for the line.

Mathematics
1 answer:
olga2289 [7]2 years ago
5 0

We can use the points (2, -2) and (4, -1) to solve.

Slope formula: y2-y1/x2-x1

= -1-2/4-(-2)

= -3/6

= -1/2

Point slope form: y - y1 = m(x - x1)

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

Solve for y-intercept.

-2 = -1/2(2)  + b

-2 = -1 + b

-2 + 1 = -1 + 1 + b

-1 = b

Slope Intercept Form: y = mx + b

y = -1/2x - 1

______

Best Regards,

Wolfyy :)

You might be interested in
Solve equation<br> 7+3x-12x=3x+1
inysia [295]
7+3x-12x=3x+1
We will first make all the numbers which have x in go to the left.
So 7+3x-12x-3x, we make the 3x negative since to make it move it needs to change.
Then we will make all the sevens go to the right, so 3x-12x-3x=1-7.
So now it is much easier to figure out.
-12x=-6
4 0
3 years ago
I need the answer please
alina1380 [7]

Answer:

the answer is c

Step-by-step explanation:

its the only one that makes sense

3 0
3 years ago
Thank you for anyone who knows this
katen-ka-za [31]

Answer:  

  • Part (a) Vertex = (-3, -1)
  • Part (b) Vertex = (4, 5)
  • Part (c) function 2; max value = 5

=====================================================

Explanations:

Part (a)

In this case, the vertex is the highest point, so the vertex of function 1 is (-3, -1)

If the parabola was flipped so that it opened upward, instead of downward, then the vertex would be the lowest point.

----------------------------

Part (b)

We could graph this function to see where the highest or lowest point is, but there's another way we could find the vertex using algebra.

The given equation is in the form y = ax^2 + bx + c where in this case

  • a = -2
  • b = 16
  • c = -27

The a and b values are plugged into the formula below to get

h = -b/(2a)

h = -16/(2*(-2))

h = -16/(-4)

h = 4

This is the x coordinate the vertex since the vertex is (h,k)

To find k, we plug that value of h into the original function to find its corresponding y value.

y = -2x^2 + 16x - 27

y = -2(4)^2 + 16(4) - 27

y = -2(16) + 16(4) - 27

y = -32 + 64 - 27

y = 5

We found that h = 4 leads to k = 5. The vertex is (h,k) = (4, 5)

----------------------------

Part (c)

We'll compare the y values of each vertex

  • Function 1 has a vertex of (-3, 1)
  • Function 2 has a vertex of (4, 5)

The vertex with the larger y value is the winner, so that would be function 2. This parabola reaches a higher peak compared to the other curve.

The max value here is y = 5. In other words, it's the maximum output the function can produce.

If you graphed functions 1 and 2 together on the same xy grid (see below), you'll see that the curve for function 2 reaches a higher peak.

7 0
2 years ago
One person can do a certain job in fifteen minutes, and another person can do the same job in thirty minutes. How many minutes w
crimeas [40]
<span>10 min 

1/15
1/30

1/15+1/30 = 3/30 = 1/10</span>
8 0
3 years ago
Read 2 more answers
Whats the distance between the following points? -9,8 -3,2
xeze [42]

<em>So</em><em> </em><em>the</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>√</em><em>3</em><em>1</em><em>4</em><em> </em><em>units</em><em>.</em>

<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em>

<em>Good</em><em> </em><em>luck</em><em> </em><em>on</em><em> </em><em>your</em><em> </em><em>assignment</em>

8 0
3 years ago
Other questions:
  • Find the coordinates for the midpoint of the segment with endpoints given. (12, 4) and (-8, 8)
    5·1 answer
  • John is putting a fence around his garden that is shaped like a half circle and a rectangle.
    14·1 answer
  • A health conscious student faithfully wears a device that tracks his steps. Suppose that the distribution of the number of steps
    5·1 answer
  • 29 less than -10 times a number is equal to -18 times a number +91
    6·1 answer
  • There is a picture attached *try to show work*
    14·2 answers
  • Elana can swim 12 laps in 4 minutes. Fill in the blanks in the double number line to show
    13·1 answer
  • Which equation can be used to solve for x in the following diagram? 105=(5× -70)​
    7·1 answer
  • helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
    7·2 answers
  • Last semester, Mr. Dean had 8 students who built a sailboat in 160 working hours. The time that
    7·1 answer
  • What is a correct interpretation of the​ statement, "the ratio of dogs to cats is 7 to​ 2"?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!