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klasskru [66]
2 years ago
10

Write an equation of the line with the given slope and y-intercept,(4,3) and (0,1)

Mathematics
1 answer:
PSYCHO15rus [73]2 years ago
5 0

Answer:

y=1/2x+1

Step-by-step explanation:

First use slope formula.

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

Plug in the information needed.

\frac{1-3}{0-4}=\frac{-2}{-4}=\frac{1}{2}

The slope is \frac{1}{2}.

Now, use point-slope formula.

y-y1=m(x-x1)

Plug in the information needed.

y-3=1/2(x-4)

y-3=1/2x-2

y=1/2x+1

The equation of the line in slope-intercept form is y=1/2x+1.

Hope this helps!

If not, I am sorry.

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Fudgin [204]

Answer:

x=4

Step-by-step explanation:

The y axis is a line where the value of x does not change ( x=0)

It is a vertical line

The only line where the value of x does not change is x=4

It is a vertical line at x=4

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Step-by-step explanation:

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Step-by-step explanation:

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Help!!
Elza [17]

Answer:

(b)\ 2x - 9 = -1

(c)\ -2x + 12 = 4

(e)\ 2(x - 10) = -12

Step-by-step explanation:

Required

Which equals x = 4

(a)\ 2x + 6 = 2

Collect like terms

2x  = 2 - 6

2x  = -4

Divide both sides by 2

x = -2

(b)\ 2x - 9 = -1

Collect like terms

2x = -1 + 9

2x = 8

Divide both sides by 2

x = 4

(c)\ -2x + 12 = 4

Collect like terms

-2x =- 12 + 4

-2x =-8

Divide both sides by -2

x = 4

(d)\ 2(x + 2) = 10

Divide both sides by 2

x + 2 =5

Collect like terms

x = 5-2

x = 3

(e)\ 2(x - 10) = -12

Divide both sides by 2

x - 10 = -6

Collect like terms

x = 10 - 6

x = 4

Hence, the equations with the required solution are:

(b)\ 2x - 9 = -1

(c)\ -2x + 12 = 4

(e)\ 2(x - 10) = -12

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