Find the slope of the line. y = 6

Question

How do i find the slope of the line and graphing it as well. Step by Step

Answer 1

Look at the basis of how you find the slope of a line:

m = (change in y)/(change in x)

Slope between any two points (x₁, y₁), (x_2, y₂) is:

m = (y₂-y₁)/(x₂-x₁)

 

Since your line is simply y=6, then, regardless of the x value this will be:

m = (6-6)/(x₂-x₁) = 0/(some number) = 0

 

Any horizontal line of format:  y = n  where n is some number, has a slope of zero

 

To graph just pick any 2 values for x, combined with a y value of 6...

(1, 6), (3, 6) for example.

Plot the two points and draw your STRAIGHT HORIZONTAL LINE at y=6

Answer 2

y = mx + b

 

y = 6 = (0)x + 6

 

m = 0

 

The slope is zero.  This is the equation of a horizontal line.