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matrenka [14]
3 years ago
14

Write an equation of the line that passes through the given points. (-2,8) and (1, -1)

Mathematics
1 answer:
KIM [24]3 years ago
6 0

/Answer:

Short Answer Type:

P1 - (-2,8)

P2 - (1,1)

Slope: (1 - 8) / (1 + 2)

=> -7/3

Therefore: 1 = -7/3 + c

=> 10/3 = c

<h2><u>Therefore equation: y = -7x/3 + 10/3</u> </h2>
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How do you solve this problem <br> 7= ln(x+5)
Gnesinka [82]
Answer:

x = 1091.63315843
<span>
Setting Up:

7 = ln ( x + 5 )

ln translates to "log" with an "e" as the base or subscript ( a small "e" at the bottom right of the "g" in log).

You take the base of the log and put it to the power of "7" ( "7" is the natural log of ( x + 5 ) in this problem ).

The value of which the logarithm is calculated is set equal to the base of the logarithm to the power of the calculated logarithm of the value.

e^7 = x + 5

Solving</span>:

e = 2.71828182846

Natural logarithms are logarithms to the base of the constant 'e'.

e^7 = x + 5    ( simplify e^7 )

<span>1096.63315843 = x + 5
</span>
Subtract 5 from each side.

1091.63315843 = x


5 0
3 years ago
What is the equaiton of the line that goes through the point (6,-1) and is parallel to the line represented by the equautions y=
mixas84 [53]

parallel lines have the same slope


The slope-intercept form of a linear equatio is y=mx+b, where m stands for the "slope of the line" and b stands for the "y-intercept of the line"


They give you the equation y= -5/6x+3 Notice this is already on the slope-intercept form, so in this case the slope is -5/6 and the y-intercept is 3


You want an equation of the line that is parallel to the given line. The slopes must be the same, so m=-5/6


So far we have y=-5/6x + b

We don't have b yet but that can be found using the given point (6,-1) which tells you that "x is 6 when y is -1"


Replace that on the equation y=-5/6x + b and you get

-1 = (-5/6)(6) + b

-1 = -5 +b

4 = b

b = 4


We found b, or the y-intercept


Go back to the equation y = -5/6 x + b and replace this b with the b we just found


y = -5/6x + 4

6 0
3 years ago
Aline crosses the coordinates (-4,4) and (2.-5). What is the slope<br> of the line?
lisabon 2012 [21]

Answer:

Step-by-step explanation:

Use the slope formula:

m = \frac{y2 -y1}{x2 - x1}

where m = slope

Given the coordinates

(-4, 4) ---> this means x1 = -4 , y1 = 4

(2, -5) ---> this means x2 = 2 , y2 = -5

Substitute these values into the slope formula:

m = \frac{y2 -y1}{x2 - x1}

m = \frac{-5 -4}{2 - (-4)}  = \frac{-9}{2+4} = \frac{-9}{6} = \frac{-3}{2}

4 0
3 years ago
What is the measure of 8x + 8<br> 5x + 5<br> 4x+ 14?
notsponge [240]

Answer:

8x+8+5x+5+4x+14=180

17x+27=180

17x=180-27

17x=153

x=9

<a=4*9+14

=36+14

50

5 0
2 years ago
Read 2 more answers
Choose the TRUE statement
Vlad1618 [11]
It’s between 15 and 16.
7 0
3 years ago
Read 2 more answers
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