Write the equations of the vertical and horizontal lines through the point (5,-5)
The equation of a vertical line is of the form x = a, where 'a' is the x-coordinate of the point that the line passes through. In this case, the x-coordinate is 5, so the equation of the vertical line through (5,-5) is x = 5.
The equation of a horizontal line is of the form y = b, where 'b' is the y-coordinate of the point that the line passes through. In this case, the y-coordinate is -5, so the equation of the horizontal line through (5,-5) is y = -5.
To find the equation of a vertical line passing through the point (5, -5), we note that a vertical line has an undefined slope. Therefore, the equation of the vertical line passing through (5, -5) will be x = 5.
For the equation of a horizontal line passing through the point (5, -5), we know that a horizontal line has a slope of 0. Using the point-slope form of the equation, we can write:
y - y1 = m(x - x1),
where (x1, y1) is the given point and m is the slope. Substituting x1 = 5, y1 = -5, and m = 0, we have:
y - (-5) = 0(x - 5),
y + 5 = 0,
y = -5.
Thus, the equation of the horizontal line passing through (5, -5) is y = -5.
To write the equations of the vertical and horizontal lines through the point (5,-5), we need to consider the properties of these types of lines.
A vertical line has a constant x-coordinate, meaning that all points on the line have the same x-value. So, the equation of a vertical line passing through the point (a, b) can be represented as x = a, where 'a' is the x-coordinate of the point.
In this case, the equation of the vertical line passing through the point (5,-5) will be x = 5.
On the other hand, a horizontal line has a constant y-coordinate, meaning that all points on the line have the same y-value. So, the equation of a horizontal line passing through the point (a, b) can be represented as y = b, where 'b' is the y-coordinate of the point.
Therefore, the equation of the horizontal line passing through the point (5,-5) will be y = -5.