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natulia [17]
3 years ago
13

The slope of a line is 0 and it contains the point (3,1)

Mathematics
1 answer:
Sedaia [141]3 years ago
3 0

Answer:

<h2>y = 1</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

<em>m</em><em> - slope</em>

<em>(x₁, y₁)</em><em> - point on a line</em>

We have <em>m = 0, (3, 1) → x₁ = 3, y₁ = 1</em>.

Substitute:

y-1=0(x-3)

y-1=0      <em>add 1 to both sides</em>

y=1

Other method.

If the slope is equal 0, then it's a horizontal line.

The equation of a horizontal line: <em>y = a</em>.

We have the point on a line (3, 1) → x = 3, y = 1.

Therefore the equation is <em>y = 1</em>.

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