Question

Find the equation of the line of the given properties: Slope = 0 and passes through (-4,5).

Answer 1

Answer:

y = 5

Step-by-step explanation:

An equation can be written in two forms: point-slope form or slope-intercept form.

When you write an equation in point-slope form, you only need two things: a point and a slope.

Given:

• point: (-4, 5)

• slope (m): 0

The standard point-slope equation is

y - y₁ = m(x - x₁)

Plug in what you know.

y - (5) = 0(x - (-4))

Simplify.

y - 5 = 0(x + 4)

y - 5 = 0

y = 5

This is your equation.

Let's now represent this in slope-intercept form.

The standard equation is

y = mx + b

Plug in what you know.

5 = 0(-4) + b

Simplify.

5 = 0 + b

5 = b

Therefore,

y = 0x + 5 or y = 5

Hope this helps!

Learn with another example:

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