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]
3 years ago
8

Determine the intercepts of the line that correspond to the following table of values

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
3 0

Answer:

x-intercept:  (-21,0); y-intercept:  (0, 14)

Step-by-step explanation:

Let's first look at changes in x.  x begins at -24 and increases by 9 to -15.  At the same time, y begins at -2 and decreases to -8.  Thus, the slope of the line in question is m = rise / run = -6/9 = -2/3.

Let's find the equation of the line in the simplest way:  point-slope form.

y-(-2) = (-2/3)(x-[-24]).  Then y+2 = (-2/3)x - (2/3)(24)), or

                                              y + 2 = - (2/3)x + 16.

<u>x-intercept</u>:  Let y = 0 and find x:  0 + 2 = -(2/3)x + 16, or 0 = -(2/3)x + 14.

Multiplying all terms by (-3/2), we get 0 =  -x + 14(-3/2), or x = -21.  Then the x-intercept is (-21, 0).

y-intercept:  let x = 0 and find y:    y + 2 = -(2/3)(0) + 16.  Then y = 14.  The y-intercept is (0, 14).


You might be interested in
What is the slope of a line with the eqation of 4×+5y=5
evablogger [386]

Answer:

- 4/5x

Step-by-step explanation:

So, this is a simple thing as long as you convert it into slope-int form. So, I am guessing from the question that the equation is

4x + 5y = 5

From here, you have to isolate y and leave all of the other variable by themselves. So, first you would subtract 4x from both sides and that leaves you with

5y = 5 -4x

Then, to isolate 5, you would divide 5 by both sides to get

y = 1- 4/5x

Now, you would put this is slope intercept form: y = mx + b to get

y = - 4/5 x + 1

Now, you can see that the slope is - 4/5x

Hope I helped!!!!!

6 0
3 years ago
Read 2 more answers
There are 165 deer in a state park. The population is increasing at the rate of 12% per year. Enter a prediction for how long it
Paha777 [63]
The deer population will reach 309 in approximately 6 yrs


Year 1. 165•1.12=184.8
Year 2. 184.8•1.12=206.976
Year 3. 206.976•1.12=231.813
Year 4. 231.813•1.12=259.63
Year 5. 259.63•1.12=290.785
Year 6. 290.785•1.12=325.679

Therefore it will take 6 years for the deer’s population to reach 300
8 0
3 years ago
Determine the x and y intercepts
kakasveta [241]
Answer:
x-intercepts: (2,0), (4,0)
y-intercepts: (0,-8)

Explanation:
To find the x intercept(s), you must compute where y=0. So solve 0= -x^2 + 6x - 8. So, the x intercepts are: (2,0) and (4,0) since the solutions to the mentioned equation are x=2 and x=4. To find the y intercept(s) compute what is y when x=0. In this case, when x=0, y=-8. So the only y intercept is (0,-8).
5 0
3 years ago
Choose the ratio that you would use to convert 2.5 meters to centimeters
nlexa [21]

Answer:

the answer is C.

Step-by-step explanation:


7 0
4 years ago
Read 2 more answers
Use formulas to find the lateral area and surface area of the given prism. Can someone please show me how to do this?
Step2247 [10]
The surface area of this prims is found by adding the area of all the faces. To find the area of the rectangles the formula is length times width, and to find area of a triangle the formula it is length times width divided by two.
7 0
3 years ago
Read 2 more answers
Other questions:
  • Question 9 Unsaved Solve the equation. Y + (–6) = –9 Question 9 options: 54 3 –3 –15
    5·1 answer
  • What is the solution to 10(3x−5)=−20
    9·1 answer
  • Solve the following equations.express your answer as an ordered pear in the format (a,b) with no spaces between the numbers or s
    6·1 answer
  • 2 times the difference between 49.5 and 37.5
    10·2 answers
  • If a country's saving rate increases, then in the long run\
    7·1 answer
  • Given the circle below, what is m ZEHF?
    9·1 answer
  • 0.35 is best known as what number
    10·1 answer
  • Please take a look at the picture
    9·2 answers
  • Select the correct answer. Determine whether the graph below represents an arithmetic or geometric sequence. A. The graph repres
    13·1 answer
  • In the diagram below. C is an equal distance to A and B.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!