Question

What is the equation of the line that passes through the point (4,6) and has a
slope of 0

Answer 1

Solution:

We know that:

• (x,y) = (4,6) ⇒ x = 4, y = 6
• Slope = 0

Since we know the coordinates and the slope of the line, we can use point slope form to find the equation.

• y - y₁ = m(x - x₁)
• ⇒ y - 6 = 0(x - 4)
• ⇒ y - 6 = 0
• ⇒ y = 0 + 6
• ⇒ y = 6

Thus, the equation of the line is y = 6.

Answer 2

Answer/Step-by-step explanation:

Given us that;

Passes through the point (4,6)

slope of 0

Note;

The equation of a line has the form:

y - y₁ = m(x - x₁)

Solve;

Now we plug in the coordinates of the given point the line goes through, and solve:

y - 6 = 0(x - 4)

y - 6 = 0

y = 0 + 6

y = 6    

Hence,  equation of the line is y = 6

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