Find the equation of the parallel to x–axis and passing through (3,

1.	Find the equation of the parallel to x–axis and passing through (3, –5).
Answer» Given: A line which is parallel to x–axis and passing through (3, –5) By using the formula, The equation of line: [y – y₁ = m(x – x₁)] We know that 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) Now, substitute the values, we get y – (– 5) = 0(x – 3) y + 5 = 0 ∴ The equation of line is y + 5 = 0

Find the equation of the parallel to x–axis and passing through (3, –5).

Answer»

Given: A line which is parallel to x–axis and passing through (3, –5)

By using the formula,

The equation of line: [y – y₁ = m(x – x₁)]

We know that 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)

Now, substitute the values, we get

y – (– 5) = 0(x – 3)

y + 5 = 0

∴ The equation of line is y + 5 = 0