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2 years ago

Line q passes through the point (4,6)and (0,6).

Mathematics

1 answer:

larisa86 [58]2 years ago

8 0

Answer:

The equation of the line passing through the points (4, 6) and (0, 6) will be:

y = 6

The graph of the equation y = 6 is also attached.

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 points

(4, 6)

(0, 6)

Finding the slope between (4, 6)and (0, 6).

Using the formula

Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [6 - 6] / [0 - 4]

= 0 / -4

= 0

Thus, the slope of the line = m = 0

The slope m = 0 means the line is horizontal. Because the slope of the horizontal line is 0.

As the y-values are not changing with respect to the x-values.

Therefore,

The equation of the line passing through the points (4, 6) and (0, 6) will be:

y = 6

The graph of the equation y = 6 is also attached.

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