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2 years ago

Write an equation of a horizontal line tuat passes through the point (3,-3)

Mathematics

2 answers:

aniked [119]2 years ago

6 0

Answer:

y = -3

Step-by-step explanation:

A horizontal line has all the same y values, but changing x values

y must equal -3 all the time if it goes through (3,-3)

y = -3

Wewaii [24]2 years ago

4 0

Slope intercept form: y = mx + b

Since the line is horizontal, the slope is going to be 0. A horizontal line also has the same y value all along the line. Therefore, the y-intercept is -3.

Eauation: y = -3

Best of Luck!

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FEE

frozen [14]

Answer:

The equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

$y+2=\frac{3}{4}\left(x+4\right)$

$3x - 4y = -4$

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

Given the line

3x - 4y = 7

writing in the slope-intercept form

4y = 3x - 7

dividing both sides by 4

4y/4 = 3/4x - 7/4

y = 3/4x - 7/4

Now, comparing with the slope-intercept form of the line equation

y = 3/4x - 7/4

The slope of the line m = 3/4

We know that parallel lines have the same slopes.

Therefore, the slope of the parallel line is: 3/4

now we have,

The point (-4, -2)

The slope m of parallel line = 3/4

Given the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting (-4, -2) and m = 3/4 in the point-slope form of line equation

$\:y-\left(-2\right)=\frac{3}{4}\left(x-\left(-4\right)\right)$

$y+2=\frac{3}{4}\left(x+4\right)$

Thus, the equation in the point-slope form of the line equation is:

$y+2=\frac{3}{4}\left(x+4\right)$

Simplifying the equation

$y+2=\frac{3}{4}\left(x+4\right)$

Subtract 3 from both sides

$y+2-2=\frac{3}{4}\left(x+4\right)-2$

$y=\frac{3}{4}x+1$

Multiplying the equation by 4

$4y = 3x + 4$

$3x - 4y = -4$

Therefore, the equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

$y+2=\frac{3}{4}\left(x+4\right)$

$3x - 4y = -4$

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2 years ago

Question 4: What is the solution of the system? * .A .B .C .D

DedPeter [7]

Answer:

Step-by-step explanation:

x+4y=-12

x+7y=-15

subtract

-3y=3

y=-1

x+4(-1)=-12

x=-12+4=-8

so point is (-8,-1)

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riadik2000 [5.3K]

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MatroZZZ [7]

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3 years ago

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djverab [1.8K]

Answer:

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Step-by-step explanation:

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