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goldenfox [79]
3 years ago
15

Complete the equation for the horizontal line that passes through (5 -7)

Mathematics
1 answer:
professor190 [17]3 years ago
7 0

Answer:

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

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Answer:

y = \frac{5}{6} x + \frac{8}{3}

Step-by-step explanation:

The equation of a line in slope- intercept form is

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Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (4, 6)

m = \frac{6-1}{4+2} = \frac{5}{6} , thus

y = \frac{5}{6} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 6 ), then

6 = \frac{20}{6} + c ⇒ c = 6 - \frac{20}{6} = \frac{16}{6} = \frac{8}{3}

y = \frac{5}{6} x + \frac{8}{3} ← equation of line

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