How do you write an equation in slope-intercept form for a line parallel to y = -5 that passes through the point (-1,-8)?

1 Answer
marfre
Apr 13, 2017

#y = -8#

Explanation:

Slope intercept form is #y = mx + b# where #m# = slope, and #b = y#intercept #(0, b)#.

When a line is in the form #y = -5#, it has #m = 0#, therefore the line is a horizontal line. Horizontal lines have different values of #x#, but the same #y#-value. The line passes through points such as #(-1, -5), (0, -5), (2, -5), (4, -5)#.

A line that is parallel has the same slope: #m = 0#. It is also a horizontal line. To pass through #(-1, -8)# the line must be #y = -8#

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