How do you find the slope of a line parallel to #Y-3=0#?

1 Answer
Aug 2, 2017

Answer:

See a solution process below:

Explanation:

We can rewrite this equation as:

#y - 3 + color(red)(3) = 0 + color(red)(3)#

#y - 0 = 3#

#y = 3#

This equation represents a horizontal line where for each and every value of #x#, #y# is equal to #3#.

By definition, the slope of a horizontal line is #0#.

We can also show this by writing this equation in slope-intercept form. The slope-intercept form of a linear equation is: #y = color(red)(m)x + color(blue)(b)#

Where #color(red)(m)# is the slope and #color(blue)(b)# is the y-intercept value.

#y = color(red)(0)x + color(blue)(3)#

Therefore, the slope is: #color(red)(m = 0)#