Respuesta :

The equation of the horizontal line that passes through (5 , -7) is y = -7

Step-by-step explanation:

The equation of any in the slope-intercept form is y = mx + c, where

1. m is the slope of the line

2. c is the y-intercept

3. The slope of a horizontal line is zero

4. The vertical line has no slope

If the line is horizontal that means all the y-coordinates of the points lie

on the line are equal

Ex: If a horizontal line passes through point (2 , -1), then the equation

      of the line is y = -1

If the line is vertical that means all the x-coordinates of the points lie

on the line are equal

Ex: If a vertical line passes through point (3 , 2), then the equation

      of the line is x = 3

∵ The horizontal line passes through point (5 , -7)

∴ The equation of the line is y = -7

The equation of the horizontal line that passes through (5 , -7) is

y = -7

Learn more:

You can learn more about the equation of a line in brainly.com/question/8628615

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Answer:

Horizontal line that passes through (5 , -7) is

[tex]y =-7[/tex]

Step-by-step explanation:

Given : Point (5 , -7)

Calculation :

We know that slope intercept equation is given by

[tex]y=mx+c[/tex]

Given that the line passing through the point (5 , -7) is horizontal therefore [tex]m[/tex] is zero

And if line is horizontal than all the y coordinates of the points lie on the line are equal

Therefore required equation passing through (5 , -7) is

[tex]y=-7[/tex]

For more information, refer to the link given below

https://brainly.com/question/9657496?referrer=searchResults