Home > Algebra > Write an Equation Given the Slope and a Point

How do you write an equation of a line that passes through (-3,1) with a slope of zero?

Answer 1

Kennedy Adams

#y=1#

Lines that have a slope of zero are horizontal.Hence it passes through #(-3,1)# the equation of the line is #y=1#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Jameson Allen

To write the equation of a line that passes through the point (-3, 1) with a slope of zero, use the point-slope form of a linear equation, where the slope (m) is zero and the given point (x₁, y₁) is (-3, 1).

The point-slope form of a linear equation is y - y₁ = m(x - x₁), where m is the slope, and (x₁, y₁) is a point on the line.

Since the slope (m) is zero, the equation becomes: y - 1 = 0(x - (-3))

Simplify this to: y - 1 = 0

Now, add 1 to both sides to isolate y: y = 1

So, the equation of the line passing through (-3, 1) with a slope of zero is y = 1.

By signing up, you agree to our Terms of Service and Privacy Policy

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.