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A line is drawn on a coordinate plane so that it is parallel to the x-axis and passes through the point (4.6). Which statement identifies equation and slope of this line?

A Line Is Drawn On A Coordinate Plane So That It Is Parallel To The Xaxis And Passes Through The Point 46 Which Statement Identifies Equation And Slope Of This class=

Sagot :

Answer:

A. The equation of the line is y = 6, and the slope is 0

Explanations:

Note that:

When a line is parallel to the x -axis, the slope of that line equals to zero

According to the question, the line passes through the point with coordinates (4, 6)

The equation of a line passing through a point of coordinates (x₁ , y₁) is given by the equation:

y - y₁ = m ( x - x₁)

x₁ = 4, y₁ = 6

Substitute x₁ = 4, and y₁ = 6 into the given equation:

y - 6 = 0(x - 4)

y - 6 = 0

y = 6

The equation of the line is y = 6, and the slope is 0

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