Respuesta :

Answer:

y = 9

Step-by-step explanation:

A horizontal line will stay at the same height across the entire domain.  This means that while its x-coordinates change, its y-coordinate does not.  

Since it passes through the point (-5, 9), this means the y-coordinate is 9.  It will be y=9 throughout the entire graph; this means the equation is y=9.

The equation of the horizontal line that passes through the point (−5, 9) is y=9. The correct option is B.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

For a horizontal line, the value of the slope of the line is 0. Therefore, the value of m is 0. Given the point (-5,9) through which the equation passes, therefore, the value of the constant in the equation of the line can be found by substituting values in the equation.

Therefore, the equation can be written as,

y = mx + c

9 = 0(-5) + c

c = 9

Now, substitute the value of slope and constant in the equation of the line.

y = mx + c

y = 0(x)+ 9

y = 9

Hence, the equation of the horizontal line that passes through the point (−5, 9) is y=9.

Learn more about Equation of Line here:

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