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2 years ago

What is the equation of the line that passes through (2, -7) and (-1, 2)?

Mathematics

1 answer:

SVETLANKA909090 [29]2 years ago

4 0

Answer:

y = -3x - 1

Step-by-step explanation:

The slope intercept form of the equation of a line is:

y = mx + b

where m is the slope, and b is the y-intercept.

First, we find the slope of the line using the two given points.

m = slope = (y2 - y1)/(x2 - x1) = (2 - (-7))/(-1 - 2) = (2 + 7)/(-3) = 9/(-3) = -3

Now we plug in the slope we found into the equation above.

y = -3x + b

We need to find the value of b, the y-intercept. We use the coordinates of one of the given points for x and y, and we solve for b. Let's use point (2, -7), so x = 2, and y = -7.

y = -3x + b

-7 = -3(2) + b

-7 = -6 + b

Add 6 to both sides.

-1 = b

Now we plug in -1 for b.

y = -3x - 1

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Are the two terms on each tile like terms? Sort the tiles into the appropriate categories.

o-na [289]

Answer:

Like terms: $-7y^2$ and $y^2$ , $0.5kt$ and $-10kt$ , $6$ and $9$

Not like terms: $-4p$ and $p^2$ , $5x$ and $5$ , $3ad$ and $2bd$

Step-by-step explanation:

Two or more terms are called like terms if they have same variables and powers.

$-7y^2$ and $y^2$ are like terms because they have same variable y with same power 2.

$-4p$ and $p^2$ are not like terms because they have same variable y with different powers.

$0.5kt$ and $-10kt$ are like terms because they have same variables kt with same power 1.

$6$ and $9$ are like terms because both are constant.

$5x$ and $5$ are not like terms because one have variable and other is constant.

$3ad$ and $2bd$ are not like terms because they have different variables.

Like terms: $-7y^2$ and $y^2$ , $0.5kt$ and $-10kt$ , $6$ and $9$

Not like terms: $-4p$ and $p^2$ , $5x$ and $5$ , $3ad$ and $2bd$

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2 years ago

Which polynomial is in standard form? A) 26x^5+12x^7-8x^3+6x

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It's C. In order to be in standard form you have to have all your exponents in descending order. They don't all have to be there in order, the ones that are just have to go from highest to lowest.

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Anvisha [2.4K]

You can obtain the a number for which they all divisors by calculating the least common multiple.

This way:

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19=19*1
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The least common multiple is: 5*17*19*2^2 = 6,460.

Then 84, 17, 19, 4 and 2 are all divisors of 6,460.

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3 years ago

1) -10m(-3 +3m) – 5(8m – 6)

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distribute your negative 10, you will first get 30m, then - 30m^2.

next distribute the negative 5, you will get - 40m, then 30.

combine like terms, and make sure its in standard form, - 30m^2 - 10m + 30

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2 years ago

One card is drawn at random from the deck of cards shown. Which of the following probabilities is equal to one?

Gennadij [26K]

P(even or add).
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If so, Please mark as brainliest!

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2 years ago

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