The slope of a horizontal line is 1. The equation of the horizontal line passing through (4, 5)is _______?
y - 5 = 1(x - 4)
etc
The slope of a horizontal line is always 0, not 1. This is because a horizontal line is parallel to the x-axis and does not have any change in the y-coordinates.
Now, let's find the equation of the horizontal line passing through the point (4, 5).
Since the line is horizontal, the slope is 0. 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), where (x1, y1) represents a point on the line and m represents the slope.
In this case, we have the point (4, 5). Putting the values into the point-slope form equation, we get:
y - 5 = 0(x - 4)
Since the slope is 0, the term "0(x - 4)" becomes 0, simplifying the equation to:
y - 5 = 0
To isolate y, we add 5 to both sides of the equation:
y = 5
Therefore, the equation of the horizontal line passing through (4, 5) is: y = 5.