How do you write the point slope form of the equation given (1,-3) and slope 0?

1 Answer
smendyka
Jan 7, 2018

See a solution process below:

Explanation:

A slope of #0# indicates the line is a horizontal line. This means, for each any every value of #x# the #y# value is the same. In this problem, the point given has the #y# value as #-3#.

Therefore, the #y#-intercept is #(0, -3)# of #-3#.

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.

Therefore, for this point and slope the equation would be:

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

Or

#y = -3#

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