How do you write an equation of the line in standard form with (5,-3) and parallel to the x axis?

Answer 1

Ethan Adkins

parallel to X-axis means slope =0

Equation of the line is given by (y-y1)=m(x-x1) (y+3) =0(x-5) y+3=0 So, y=-3 is the required equation.

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Answer 2

Ethan Adkins

To write an equation of the line in standard form with (5, -3) and parallel to the x-axis:

Since the line is parallel to the x-axis, its slope is 0.

Equation of a line with slope m passing through point (x₁, y₁) is given by: y - y₁ = m(x - x₁)

Substitute the given point (5, -3) and the slope m = 0 into the equation:

y - (-3) = 0(x - 5) y + 3 = 0 y = -3

In standard form, the equation of the line is: 0x + 1y = -3 Or simplified: y = -3

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.