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3 years ago

What is the equation of a line, in general form, that passes through point (1,-2) and has a siope of 1/3?

Mathematics

1 answer:

Sever21 [200]3 years ago

8 0

9514 1404 393

Answer:

x -3y -7 = 0

Step-by-step explanation:

The general form of the equation for a line is ...

ax +by +c = 0

where a, b, c are mutually prime and the leading coefficient is greater than zero.

The general form equation for a line with slope m = rise/run through point (h, k) can be found by simplifying ...

rise(x -h) -run(y -k) = 0 . . . . where run has the sign of the slope

For the given point and slope, we have ...

1(x -1) -3(y -(-2)) = 0

x -3y -7 = 0

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Bobby wants to go on a school trip that will cost him $250. He comes up with an equation that represents how much he needs to sa

monitta

Yes, Bobby will have enough money if he saves for 9 weeks. You can find this through either substituting w for 9 in the equation, or solving the equation itself.

Substituting:

$25(9)+30$
Substitute w for 9.

$225+30$
Simplify.

$225+30=255$
Solve.

255 is greater than 250, so yes, he will have enough money saved.

Solving the equation:

$25w+30=250$
Original Equation

$25w=220$
Subtract 30 from both sides.

$w=8.8$
Divide both sides by 25.

The number of weeks he needs is 8.8. When rounding it up, you get 9.

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3 years ago

How old am I if I am 13 Plz help me

RSB [31]

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3 years ago

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tresset_1 [31]

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3 years ago

150 is 55% of what number

balandron [24]

Simple, just divide the number by the percentage and you get the original number. You can check it by multiplying the original number of 272 by 55% or .55 to get 150.
150/.55 = 272

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3 years ago

Factor the Following: 1.) 8 2.) -12 3.) -3y² 4.) 6x²+36x 5.) 7x -14x²

Alex787 [66]

Answer:

1.) 8 = 8

2.) -12 = -12

3.) -3y² = -3y²

4.) 6x² + 36x = 6x(x + 6)

5.) 7x - 14x² = 7x(1 - 2x)

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3 years ago