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2 years ago

There is a line whose Y intercept is -5 and whose slope is 0. What is its equation in slope – intercept form?

Mathematics

1 answer:

Aleonysh [2.5K]2 years ago

6 0

<h2>Key Concepts</h2>

Linear equations
Slope-intercept form

Slope-intercept form looks like this: $y=mx+b$

<em>m</em> = slope
<em>b</em> = y-intercept

<h2>Solving the Question</h2>

We're given:

<em>m</em> = 0
<em>b</em> = -5

Plug the given values into y=mx+b:

$y=0x-5\\y=-5$

<h2>Answer</h2>

$y=-5$

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Step-by-step explanation:

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3 years ago

F(x) 5x/x-2

Phoenix [80]

Answer:

Vertical asymptote: x=2

Horizontal asymptote: y=5

Step-by-step explanation:

Hi there!

The parent function for a rational function has a horizontal asymptote at y=0 and a vertical asymptote at x=0.

First, we want to perform long division on 5x/x-2. Please check the image attached.

The result is $5+\displaystyle\frac{10}{x-2}$ .

Here are the transformations of a rational function:

$f(x)=\displaystyle\frac{a}{b(x-h)}+k$

a = vertical stretch

b = horizontal stretch

h = horizontal translation

k = vertical translation

Stretches don't change the location of the asymptotes, only the translations do.

According to $5+\displaystyle\frac{10}{x-2}$ , we applied a horizontal translation of 2 units right and a vertical translation of 5 units up. Therefore, our asymptotes are now x=2 and y=5.

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2 years ago

What is the equation of a line that passes through the points (3, 6) and (8, 4)?

romanna [79]

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Answer:

y = -2/5x +36/5 . . . . . slope-intercept form

2x +5y = 36 . . . . . . . . standard form

Step-by-step explanation:

You can use the 2-point form of the equation of a line to find it.

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

y = (4 -6)/(8 -3)(x -3) +6

y = -2/5(x -3) +6

y = -2/5x +36/5 . . . . slope-intercept form

2x +5y = 36 . . . . . . . standard form

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3 years ago

There is a line whose Y intercept is -5 and whose slope is 0. What is its equation in slope – intercept form?￼

There is a line whose Y intercept is -5 and whose slope is 0. What is its equation in slope – intercept form?