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3 years ago

What is an equation in point-slope form for the line that contains the points (-1, 4) and (11, -6)?

Mathematics

1 answer:

pshichka [43]3 years ago

5 0

Answer:

The equation in point-slope form is $y-4=-\frac{5}{6}(x+1)$

Step-by-step explanation:

Given points are;

(-1, 4) and (11, -6)

We will find the slope of the line through the given points.

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

m = $\frac{-6-4}{11-(-1)}$

m = $\frac{-10}{12}$

m = $\frac{-5}{6}$

Point slope form of a line is given by;

$y-y_1=m(x-x_1)$

Putting the point (-1,4) and slope in the equation

$y-4=-\frac{5}{6}(x-(-1))\\y-4 =-\frac{5}{6}(x+1)$

Hence,

The equation in point-slope form is $y-4=-\frac{5}{6}(x+1)$

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Write any 4 laws of exponents.

emmainna [20.7K]

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Write any 4 laws, or properties, of exponents.

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

$\Large\text{Law number 1:-}$

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$\Large\text{It states that:-}$

When we multiply together numbers with the same base,

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$\Large\text{Law number 2:-}$

$\Large\text{$a^m:a^n=a^{m-n}$}$

$\Large\text{It states that:-}$

When we divide numbers with the same base, we

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If we have a fraction to a power, we raise the numerator and

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$\Large\textit{Law number 4:-}$

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If we have a number with a negative exponent, we flip it over.

<h3>Good luck with your studies.</h3>

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2 years ago

Read 2 more answers

Item 1 A bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. You randomly choose a card. a. How many poss

egoroff_w [7]

Answer:

4 possible outcomes

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

Let

x------> size of the event space

y-----> size of the sample space

$P=\frac{x}{y}$

In this problem

The probability of choose a blue card is

$x=7$

$y=7+4+6+8=25$

substitute

$P=\frac{7}{25}$

The probability of choose a green card is

$x=4$

$y=7+4+6+8=25$

substitute

$P=\frac{4}{25}$

The probability of choose a red card is

$x=6$

$y=7+4+6+8=25$

substitute

$P=\frac{6}{25}$

The probability of choose a yellow card is

$x=8$

$y=7+4+6+8=25$

substitute

$P=\frac{8}{25}$

The sum of the probabilities of the 4 possible outcomes is equal to

$\frac{7}{25}+\frac{4}{25}+\frac{6}{25}+\frac{8}{25}=\frac{25}{25}$ ----> represent the 100%

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3 years ago

What is the relationship between the graphs of f(x) = x^2 and g(x) = x^2 + 6?

Tamiku [17]

They have the same slope, but g(x) intercepts the y axis higher.

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2 years ago

How to factor 49y^{2}-9x^{2}

lorasvet [3.4K]

Answer:

(7y + 3x)(7y - 3x)

Step-by-step explanation:

a² - b² = (a + b)(a - b)

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= (7y + 3x)(7y - 3x)

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3 years ago

Justify each step in solving the equation 5(y+3)-11=-y-6 by writing a reason for each statement.

liubo4ka [24]

Explanation:

5(y+3)-11=-y-6 Given

5(y+3)=-y+5 . . . . addition property of equality (11 is added)

5y+15=y+5 . . . . . distributive property (5 is distributed)

5y=-y-10 . . . . . . . addition property of equality (-15 is added)

6y=-10 . . . . . . . . . addition property of equality (y is added)

y=-5/3 Division Property of Equality/Reduce

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3 years ago