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emmasim [6.3K]
3 years ago
7

What is an equation of the line that passes through the point (-1, -3) and is

Mathematics
1 answer:
Soloha48 [4]3 years ago
7 0

Answer:

y = 4x + 1

Step-by-step explanation:

1. Solve given equation for y

4x-y=2

4x=y+2

y=4x-2

2. Parallel in linear equations means the new line will have the same slope, so your new equation so far is

y=4x+b      (formula being used is linear function y=mx+b)

3. (-1,-3) is a coordinate (x,y), so plug those values in for x and y so the only variable in your equation is b, the y-intercept

-3=4(-1)+b     Solve for b

-3=-4+b

1=b

4. Rewrite your new equation with the m and b you now know

y=4x+1

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3 years ago
The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times t
alexdok [17]
Let the three numbers be x, y and z respectively, then
x + y + z = 62 . . . (1)
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The above three expressions could be used to represent the numbers.

Solving the three equations, putting (2) and (3) into (1) gives
x + x - 4 + 4x = 62
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3 years ago
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Algebra Examples

Popular Problems Algebra Find the Domain and Range y=3/2x^2+4x-9

y

=

3

2

x

2

+

4

x

−

9

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(

−

∞

,

∞

)

Set-Builder Notation:

{

x

|

x

∈

R

}

The range is the set of all valid

y

values. Use the graph to find the range.

Interval Notation:

[

−

35

3

,

∞

)

Set-Builder Notation:

{

y

∣

∣

∣

y

≥

−

35

3

}

Determine the domain and range.

Domain:

(

−

∞

,

∞

)

,

{

x

|

x

∈

R

}

Range:

[

−

35

3

,

∞

)

,

{

y

∣

∣

∣

y

≥

−

35

3

}

image of graph

5 0
3 years ago
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