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klasskru [66]
1 year 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]1 year 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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Columbia Theater Company reviewed their receipts from opening weekend. They sold 83 adult tickets and 42 child tickets on Friday
slava [35]

Answer:

If 48 adults and 26 children attended the matinee on Sunday, the theater raised $ 514 from ticket sales.

Step-by-step explanation:

A system of linear equations is a set of linear equations that have more than one unknown, which are related through the equations.

In this case, being:

  • A: adult ticket price
  • C: child ticket price.

The system of equations is:

\left \{ {{83*A+42*C=874} \atop {102*A+67*C=1151}} \right.

The substitution method consists of isolating one of the two unknowns in one equation to replace it in the other equation. In this case you isolate C from the first equation:

83*A + 42*C= 874

42*C= 874 - 83*A

C=\frac{874 - 83*A}{42}

Substituting this expression in the second equation:

102*A + 67*\frac{874 - 83*A}{42}= 1151

and solving:

102*A + \frac{67}{42} *(874 - 83*A)= 1151

Multiply through by 42

42*102*A + 42*\frac{67}{42} *(874 - 83*A)= 42*1151

4,284*A + 67*(874-83*A)= 48,342

4,284*A + 58,558 - 5,561*A= 48,342

4,284*A - 5,561*A= 48,342 - 58,558

-1,277*A= -10,216

A=\frac{-10,216}{-1,277}

A= 8

Knowing that: C=\frac{874 - 83*A}{42} then:

C=\frac{874 - 83*8}{42}

C=\frac{874 - 664}{42}

C=\frac{210}{42}

C= 5

The price of an adult ticket is $8 and a child is $5. If 48 adults and 26 children attended the matinee on Sunday, then:

$8*48 adults + $5* 26 childen= $514

<u><em> If 48 adults and 26 children attended the matinee on Sunday, the theater raised $ 514 from ticket sales.</em></u>

<u><em></em></u>

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Step-by-step explanation:

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Tyler is overdrawn at the bank by $180 He gets $70 for his birthday and deposits it what is his account balance now
polet [3.4K]

Answer:

-$110

Step-by-step explanation:

An overdrawn bank account would be -$180. you would have to add $70 .

given 70 is not large enough to fully bring the balance to 0. long story short, subtract 70 from 180. since 70 is < 180 the number is therefore negative since 180 is negative in this problem

<em><u>I</u></em><em><u> </u></em><em><u>hope</u></em><em><u> </u></em><em><u>this</u></em><em><u> </u></em><em><u>helps</u></em><em><u>!</u></em><em><u>!</u></em><em><u>^</u></em><em><u>^</u></em>

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3 years ago
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