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3 years ago

What is the equation of the line that passes through (-2, 2) and (1,-4)?

Mathematics

1 answer:

Reil [10]3 years ago

7 0

Answer:

$Equation \ of \ the \ line => (y -y_{2}) =m(x -x_{2} )$

$slope, m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{-4-2}{1--2} = \frac{-6}{3} = -2$

Equation the line passing through (-2, 2) and ( 1, -4)

$(y -- 4) = -2(x -1)\\\\(y +4) = -2x + 2\\\\y = -2x +2 -4 \\\\y = -2x -2$

option D

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Andreas93 [3]

1) Unit Rate = 26:1
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3) Unit Rate = 52:1
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Here's a little hint too: (If I remember correctly) For unit rates, it's always going to be *any number* to 1. So even if it's a decimal or a negative, the other side of the rate always has to be 1 :)

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4 years ago

Caleb has 550 candy bars and eats 2 a day. Robert has 850 candy bars and eats 6

Alex17521 [72]

Answer:

B. 550 - 2x > 850 - 6x

Step-by-step explanation:

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3 years ago

A rectangle has an area of 72 in². The length and the width of the rectangle are changed by a scale factor of 3.5.

vodka [1.7K]

Answer:

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Step-by-step explanation:

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3 years ago

Calculate the mean,median,and mode of the following set of data. Round to the nearest tenth 10,1,10,15,1,7,10,1,6,13

lions [1.4K]

Let's start with the mean.

To find the mean of a data set, add all the numbers, then divide by the number of numbers there are.

10 + 1 + 10 + 15 + 1 + 7 + 10 + 1 + 6 + 13 = 74
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The mean is 7.4

Now for the median.

To find the median put all the numbers in order, then find the middle number.

1, 1, 1, 6, 7, 10, 10, 10, 13, 15

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And finally, the mode.

To find the mode, find the number that appears the most.

1, 1, 1, 6, 7, 10, 10, 10, 13, 15

In this case, there are two modes. 1, and 10.

Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)

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3 years ago

Read 2 more answers

its 76 degrees fahrenheit at the 6000-foot level of a mountain, and 49 degrees Fahrenheit at the 12000-foot level of the mountai

brilliants [131]

$T = \frac{-9}{2}x + 103$ is the linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet.

Solution:

The linear equation in slope intercept form is given as:

T = cx + k ------ (i)

Where "t" is the temperature at an elevation x

And x is in thousands of feet

Given that its 76 degrees fahrenheit at the 6000-foot level of a mountain

Given, when c = 6 thousand ft and $T = 76^{\circ}$ fahrenheit

This implies,

From (i)

76 = c(6) + k

76 = 6c + k

⇒ k = 76 - 6c ----- (ii)

Given that 49 degrees Fahrenheit at the 12000-foot level of the mountain

Given, when c = 12 thousand ft and $T = 49^{\circ}$ fahrenheit

This implies,

From (i)

49 = c(12) + k

49 = 12c + k

Substitute (ii) in above equation

49 = 12c + (76 - 6c)

49 = 12c + 76 - 6c

49 - 76 = 6c

6c = -27

$c = \frac{-9}{2}$

Substituting the value of c in (ii) we get

$k = 76 - 6( \frac{-9}{2})\\\\k = 76 + 27 = 103$

Substituting the value of c and k in (i)

$T = \frac{-9}{2}x + 103$

Where "x" is in thousands of feet

Thus the required linear equation is found

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3 years ago