What is the equation of the line that passes through the point (-2, 7) and has a slope of zero

The equation of a line that passes through a point is an algebraic equation. It can also be referred to as the Slope-Intercept Equation.

The equation of the line that passes through the point (-2, 7) and has a slope of zero is written as: y = 7

The equation of the line through a point (x1, y1) can be represented by the algebraic equation:

y = mx + c

where:

m = slope

c = y - intercept

From the question,

(x1, y1) = (-2, 7)

m = slope = 0

Substituting these values into the algebraic equation,

7 = (0 x -2) + c

7 = 0

Hence, y = 7

The equation of the line that passes through the point (-2, 7) and has a slope of zero is y = 7

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y = 7 is the equation of the line that passes through the point ( -2, 7 ) and has a slope of zero.

Step-by-step explanation:

Given:

Let,

A ≡ ( x1 , y1 ) ≡ ( -2, 7 )

Slope = m = 0

To Find :

Equation of Line:

Solution:

Formula for , equation of a line passing through a point (  x1 , y1 ) and having a slope m is given by

Now substituting the values of x1 = -2 and y1 = 7 and slope m = 0 we get,

Which is the required equation of a line passing through the point ( -2, 7 ) and slope zero

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step-by-step explanation: