Find the equation of the parallel to x–axis and passing through (3, – 5).
Given, A line which is parallel to x–axis and passing through (3, – 5)
To Find: The equation of the line.
Formula used: The equation of line is [y – y1 = m(x – x1)]
Explanation: Here, The line is parallel to the x–axis,
So, The parallel lines have equal slopes,
And, the slope of x–axis is always 0, then
The slope of line, m = 0
Coordinates of line are (x1, y1) = (3, – 5)
The equation of line = y – y1 = m(x – x1)
By putting the values, we get
y – (– 5) = 0(x – 3)
y + 5 = 0
Hence, The equation of line is y + 5 = 0