The slope of a horizontal line is 0 the equation of the horizontal line passing through (7,5) is
Since the line is horizontal, the slope is 0.
The equation of a horizontal line passing through a given point (a, b) is y = b.
In this case, the equation of the horizontal line passing through (7, 5) is y = 5.
For a horizontal line, the slope is always 0.
Given that the line passes through the point (7,5), we can use the point-slope form of a linear equation to find the equation of the line.
The point-slope form is: y - y₁ = m(x - x₁)
Substituting the values into the equation, we get:
y - 5 = 0(x - 7)
Simplifying, we have:
y - 5 = 0
Therefore, the equation of the horizontal line passing through (7,5) is:
y = 5