What is the equation of a horizontal line that passes through point (3, 11)?

Answer 1

A Horizontal line always has an equation in the form y= a number. This means that all the y coordinates of the points on the line will always be the same value.

For the point (3, 11), the y coordinate is 11. This would make the equation of the line be:

y = 11

If you plot the point on a coordinate plane and draw a horizontal line through it, you will see that all the points on the line you drew have y coordinates of 11.

Answer 2

Let's use the standard point/slope equation to answer this question.

If a line passes through a point (x1, y1) and has a slope of m, then the point/slope equation states that the equation of the line is given by (y-y1) = m(x-x1). Because the question states the line is horizontal, the slope is zero, or m=0. Plugging the information into the point/slope equation gives:

(y-(11)) = 0*(x-(3)).

y-11= 0

y= 11.