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mr Goodwill [35]
3 years ago
5

How do i put this in slope-intercept form. passes through 2,-2 and 4,-1​

Mathematics
1 answer:
enot [183]3 years ago
5 0

Answer:

\large\boxed{y=\dfrac{1}{2}x-3}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (2, -2) and (4, -1).

Substitute:

m=\dfrac{-1-(-2)}{4-2}=\dfrac{-1+2}{2}=\dfrac{1}{2}

Put the value of a slope and the coordinates of the point (2, -2) to the equation of a line:

-2=\dfrac{1}{2}(2)+b

-2=1+b              <em>subtract 1 from both sides</em>

-3=b\to b=-3

Finally:

y=\dfrac{1}{2}x-3

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6 0
3 years ago
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almond37 [142]

Answer:

Inverse of  - 5 x - 4 = \frac{x + 4}{5}

Step-by-step explanation:

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x = -5y -4

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3 0
2 years ago
Given the sequence -3, 9, -27, 81, -243, ..., find the recursive formula.
ollegr [7]

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Step-by-step explanation:

hope this helps

8 0
4 years ago
What size does the radius of a sphere need to be for its volume to be larger than its surface area? HINT! It is less than 10. HI
Lera25 [3.4K]
We know that
volume of a sphere=(4/3)*pi*r³----> (r/3)*(4*pi*r²)
and
surface area of sphere=4*pi*r²
so
the volume of a sphere=(r/3)*surface area of sphere
therefore
if r=3
volume of a sphere=(3/3)*surface area of sphere
volume of a sphere=surface area of sphere

if r> 3
the term (r/3) is > 0
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volume of a sphere > surface area of sphere

if r<3
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examples
1) for radius r=3 units
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surface area=4*pi*3²----> 113.04 units²
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2) for radius r=10 units
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surface area=4*pi*10²----> 1256 units²
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3) for radius r=2 units
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7 0
3 years ago
Which is the equation for the statement: The quotient of 1.2 added to a number and 5 is 3.6?
ANEK [815]
The answer is \frac{x+1.2}{5} =3.6
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6 0
3 years ago
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