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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).


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What is the equation of the line that passes through the point (6, 3) and has a slope of -2?
tekilochka [14]

We know the equation of a line is y=mx+b. We know the slope (m) is -2 and all we need is the intercept (b).

Since we know one point, we can plug in 6 for x and 3 for y (along with -2 for m) in our equation and then solve for b.

3= -2*6 + b

3= -12 + b

15 = b

Since we now know the intercept we can now write our equation:

y= -2x + 15

3 0
3 years ago
The altitude above sea level of an airplane just after taking off from an airport on a high plateau is given by the linear funct
Zolol [24]

Answer:

Slope, m = 1100

y-intercept,c = 2491                                                            

Step-by-step explanation:

We are given the following in the question:

y(x) = 1100x + 2491

The above gives the altitude of the airplane above the sea level in feet(y) after x minutes since the take off.

Comparing the above equation, to a general linear equation, we have,

y = mx + c

where m is the slope and c is the y-intercept.

Comparing we get,

Slope, m = 1100

y-intercept,c = 2491

Interpretation:

  • The slope of equation tells us about the rate of change of function with unit increase in value of x. Thus, the altitude of airplane increases 1100 feet when the time increases by 1 minute.
  • The y-intercept is the value of y when x is 0. Thus, the altitude of airplane is 2491 feet when the airplane has not taken off.

6 0
3 years ago
PlEase explain where the decimal and zero comes in for 4840/90?
Anika [276]

Answer:

Read my explanation

Step-by-step explanation:

Since they both end with a 0, you can just cancel it out. So you'd have 484/9.

The answer to that is 53.7777777777...

So the decimal would come before the 3 and after the 7.

I hope this helped and have a good rest of your day!

6 0
3 years ago
A ______________ divides a segment or angle in half.
densk [106]

Answer:

bisector

Step-by-step explanation:

A <u>bisector</u> divides a segment or angle in half.

6 0
3 years ago
Read 2 more answers
A tortoise walks 3 inches in 1 second. How many feet per second can the tortoise walk?
den301095 [7]
Set up the conversion factor like this:

\frac{3in}{1} * \frac{1ft}{12in}

The inches are in the denominator while the feet are in the numerator in the conversion factor.  It's set up this way because the numerators and denominators have to be able to cancel out.  In this case, the inches would cancel out, and you would end up with 3/12 feet, which is also 0.25 feet.  The turtle walks 0.25 feet per second.
4 0
3 years ago
Read 2 more answers
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