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
Zigmanuir [339]
3 years ago
10

Write the equation of a line with slope of 5/6 , and x-intercept of −8 in point-slope form.

Mathematics
1 answer:
babymother [125]3 years ago
7 0

Answer:  y-0 = \frac{5}{6}(x+8)

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

Explanation:

Point-slope form is

y - y_1 = m(x - x_1)\\\\

where m is the slope and (x_1,y_1) is the point the line goes through.

We're given the slope of m = 5/6, and we want the line going through (-8,0) which is the x-intercept -8. The x-intercept always occurs when y = 0.

So,

y - y_1 = m(x - x_1)\\\\y - 0 = \frac{5}{6}(x - (-8))\\\\y - 0 = \frac{5}{6}(x + 8)\\\\

We can replace the y-0 with y; however, I'm going to keep that 0 so that the equation better matches the point-slope form.

You might be interested in
Samantha has $48 to spend on used video games. Single player games cost $6 each and multi player games cost $12 each. What equat
storchak [24]

Answer:

The equation is

6x + 12y = 48

Step-by-step explanation:

Standard form another way of writing a linear equation. It is in the form

Ax + By = C

Total amount with Samantha = $48

Single player games = $6 each

Multi player games = $12 each

Let

Number of Single player games = x

Number of Multi player games = y

The number of single player games (x) and the number of multi player games (y) Samantha can buy is

6x + 12y = 48

That is price × quantity of single player games + price × quantity of multi player games = Total amount with Samantha

3 0
3 years ago
In order to pay for his expenses, Chuck needs to earn $2400 at least every
sleet_krkn [62]

Answer:

5400

Step-by-step explanation:

2400+3000

8 0
3 years ago
The function h(x) = 1/2 (x+3)2 +2. How is the graph of the h(x) translated from the parent graph of a quadratic function, F(x) =
Natali5045456 [20]
For this case, the parent function is given by:
 F (x) = x ^ 2

 We apply the following function transformation:
 Vertical compressions:
 To graph y = a * f (x)
 If 0 <a <1, the graph of y = f (x) is compressed vertically by a factor a. (Shrinks)
 We have then:
 y = (1/2) * x ^ 2&#10;
 Horizontal translations:
 Suppose that h> 0
 To graph y = f (x + h), move the graph of h units to the left.
 We have then:
 y = (1/2) * (x + 3) ^ 2&#10;
 Vertical translations:
 Suppose that k> 0
 To graph y = f (x) + k, move the graph of k units up.
 We have then:
 h (x) = (1/2) * (x + 3) ^ 2 + 2&#10;
 Answer:
 
Vertical compression by factor of 1/2. Horizontal displacement 3 units to the left. Vertical displacement 2 units up.
3 0
3 years ago
Find the total cost.
mel-nik [20]
The answer is A $454.52
7 0
3 years ago
Graph the image of Q(-8, 2) after a rotation 90° counterclockwise around the origin.
True [87]

Answer:

djfbkthuiyguhfdmc.v

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • A movie theatre offers popcorn in two different containers for the same price. One container is a rectangular prism with a base
    8·1 answer
  • How many dimes are $68
    5·2 answers
  • Consider the strategic games described below. In each case, state how you would classify the game according to the six dimension
    5·1 answer
  • Properties of Parallelograms<br><br> find x.
    15·1 answer
  • Jenna’s method: Mia’s method: 5(30 + 4) 5(30 + 4) (5)(30) + (5)(4) 5(34) = 170 150 + 20 = 170 Explain why both Jenna and Mia arr
    7·2 answers
  • Find the simple interest earned if you invest $545 in a savings account that earns 3.25% for two years
    12·1 answer
  • Mr. Crow, the head groundskeeper at High Tech Middle School, mows the lawn along the side of the gym. The lawn is rectangular, a
    13·1 answer
  • Triangle ABC is similar to triangle A'B'C'. Calculate the length of side A'B'. Then check your
    6·1 answer
  • The length of the highway is 700 miles. If 1 inch represents 75 miles, what is the length of the highway on the map?
    15·1 answer
  • Need help due in 10 mins
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!