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3 years ago

HELPP ME PLZZZ THIS IS MY LAST QUESTION

Mathematics

2 answers:

cestrela7 [59]3 years ago

8 0

Answer:

a. y = 3x - 11

b. y = -1/3 x - 1

Step-by-step explanation:

The line on the graph increases by 3 every time it moves over 1. This means that the slope of the given line is 3.

a. When 2 equations are parallel, their slopes are the same, so the slope of this equation will be 3. To find the y-intercept, plug in the values of the slope and the given point (3, -2) into the equation y = mx + b:

-2 = 3(3) + b

-2 = 9 + b

-11 = b

The y-intercept is -11. Now we can write our equation:

y = 3x - 11

b. When 2 lines are perpendicular, their slopes are negative reciprocals. The negative reciprocal of 3 is -1/3. We can use the slope and the given point (3, -2) to find the y-intercept:

-2 = -1/3(3) + b

-2 = -1 + b

-1 = b

The y-intercept is -1. Now we can write our equation:

y = -1/3x - 1

Hope this helps :)

kogti [31]3 years ago

8 0

I’m doing this so that you can give the other person brainliest because they sound like they know what they are talking about lol

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

The company has a sample box that is a rectangular prism with a rectangular base with an area of 231⁄3 in2. The height of the pr

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Answer:

$29.17 in^3$

Step-by-step explanation:

We are given that

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3 years ago

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lora16 [44]

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3 years ago

Which equation represents a proportional relationship? A. y = x + 1 3 y=x+13 B. y = 1 − 1 3 x y=1-13x C. y = 3 x + 1 3 y=3x+13 D

34kurt

Answer:

Option D. $y=\frac{1}{3}x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

<u><em>Verify each case</em></u>

case A) we have

$y=x+\frac{1}{3}$

Remember that

the line must pass through the origin

For x=0, y=0

In this case

For x=0

$y=0+\frac{1}{3}=\frac{1}{3}$

The line not passes through the origin

therefore

The equation A not represent a proportional relationship

case B) we have

$y=1-\frac{1}{3}x$

Remember that

the line must pass through the origin

For x=0, y=0

In this case

For x=0

$y=1-\frac{1}{3}(0)=1$

The line not passes through the origin

therefore

The equation B not represent a proportional relationship

case C) we have

$y=3x+\frac{1}{3}$

Remember that

the line must pass through the origin

For x=0, y=0

In this case

For x=0

$y=3(0)+\frac{1}{3}=\frac{1}{3}$

The line not passes through the origin

therefore

The equation C not represent a proportional relationship

case D) we have

$y=\frac{1}{3}x$

Remember that

the line must pass through the origin

For x=0, y=0

In this case

For x=0

$y=\frac{1}{3}(0)=0$

The line passes through the origin

therefore

The equation D represent a proportional relationship

3 0

3 years ago