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nika2105 [10]
2 years ago
10

Which equation represents the line that passes through the point (-9, -3) and has a slope of -6?

Mathematics
1 answer:
NISA [10]2 years ago
5 0

Answer:

y = -6x - 57

Step-by-step explanation:

We are given that a line passes through the point (-9, -3) and has a slope of -6

We want to write the equation of this line.

There are 3 ways to write the equation of the line, with the most common way being slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y-intercept

As we are already given the slope of the line, we can immediately plug that in the equation for m

Substitute m with -6.

y = -6x + b

Now we need to find b

As the equation passes through the point (-9, -3), we can use its values to help solve for b.

Substitute -9 as x and -3 as y.

-3 = -6(-9) + b

Multiply

-3 = 54 + b

Subtract 54 from both sides

-57 = b

Substitute -57 as b in the equation.

y = -6x - 57

Topic: finding the equation of the line

See more on this topic here: brainly.com/question/27645158

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Answer:

Step-by-step explanation:

There are 3 ways to find the other x intercept.

1) Polynomial Long Division.

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2) Just solving for x when y = 0, by using the quadratic formula.

x^2 - 3x + 2 = 0\\x_{12} = \frac{3 \pm \sqrt{9 - 4(1)(2)}}{2} = \frac{3 \pm 1}{2} = 2, 1.

So the other x - intercept is at (1, 0)

3) Using Vietta's Theorem regarding the solutions of a quadratic

Namely, the sum of the solutions of a quadratic equation is equal to the quotient between the negative coefficient of the linear term divided by the coefficient of the quadratic term.

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And the product between the solutions of a quadratic equation is just the quotient between the constant term and the coefficient of the quadratic term.

x_1 \cdot x_2 = \frac{c}{a}

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<u>Question</u>

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Answer:

(B)

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Step-by-step explanation:

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\bar{X}  is the mean wait time for a the given sample of individuals. In the case given,

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