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2 years ago

What is the equation of the line that passes through the points (-6,6) and (-1,-9)

Mathematics

1 answer:

IgorLugansk [536]2 years ago

6 0

Answer:

The answer to the question provided is y = -3x - 12.

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

$y = mx + b$

❃Incase you also forgot, what the slope formula is ☟

$m = \frac{y_2 - y_1 }{x_2 - x_1}$

➊ First: We are going to be solving for the slope.

$m = \frac{ - 9 - 6}{ - 1 - ( - 6)} = \frac{ - 15}{ \: \: \: 5} = - 3$

➋Second: We find the y-intercept.

$y = mx + b \\ 6 = - 3( - 6) + b \\ 6 = 18 + b \\ \frac{ - 18 = - 18 \: \: \: \: \: \: \: \: \: \: \: \: }{ - 12 = b}$

➌Third: Plug in.

$y = - 3x - 12$

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It costs a family of two $25 to go to the state fair, and a family of six $65. Find the equation, rate of change, and initial va

motikmotik

Answer:

Step-by-step explanation:

Given:

Family of 2

Cost, C1 = $25

Family of 6

Cost, C2 = $65

Given that 2 points are given above as the following in coordinate form:

A(2,25) and B(6,65)

Rate of change is given as = (y2 - y1)/(x2 - x1)

= (65 - 25)/(6-2)

= 40/4

Therefore,

(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)

(y - 25)/(65 - 25) = (x - 2)/(6 - 2)

(y - 25)/40 = (x - 2)/4

(y - 25) = 40/4 × (x - 2)

(y - 25) = 10 × (x - 2)

Expanding,

y - 25 = 10x - 20

y = 10x - 20 + 25

y = 10x + 5

6 0

3 years ago

Mrs. Sahd distributes pencils and papers to students in the ratio of 2 pencils to 10 sheets of paper. Three of these ratios are

IRINA_888 [86]

The ratio that is not equivalent is B. 7:15

The reason why it's not equivalent because for the other ratios:

1:5 could be turned into 2:10 by multiplying 1 and 5 by 2.

4:20 could turn into 2:10 by dividing both numbers by 2.

And 8:40 could be divided by 4 to get 2:10.

But you can't do anything to 7:15 to make it 2:10.

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3 years ago

Please help, will mark!!

Temka [501]

Answer:

c = 5

Step-by-step explanation:

The Pythagorean theorem states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. It is the best-known proposition among those that have their own name in mathematics.

Pythagoras theorem

In every right triangle the square of the hypotenuse is equal to the sum of the squares of the legs.

If in a right triangle there are legs of length a and b the measure of the hypotenuse is c then the following relation is fulfilled:

$a^{2} +b^{2} =c^{2}$

With a = 3 and b = 4

$c=\sqrt{3^{2} +4^{2}} =\sqrt{9+16} =\sqrt{25} \\c=5$

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2 years ago

12 yellow balls and 9 red balls are placed in an urn. Two balls are then drawn in succession without replacement. What is the pr

denis23 [38]

Answer:

$\frac{9}{35}$

Step-by-step explanation:

When the first draw is done there are 9 red balls in a sample size of 21. So there probability of drawing a red ball will be $\frac{9}{21}$

When the second draw is done, there will be 12 yellow balls in a sample size of 20 since the first ball will not have been replaced into the bag. So the chance of someone drawing the second ball in the second draw is $\frac{12}{20}$

The probability of them happening in this order is the product of both probabilities:

$\frac{9}{21} * \frac{12}{20} = \frac{9}{35}$

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3 years ago

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nikdorinn [45]

Answer: xsquared + 9x - 11

Step-by-step explanation:

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3 years ago