How do you find the slope and intercept to graph #y=1/2x-4#?

1 Answer
Mar 29, 2018

The slope of the line #y = 1/2x -4# is #1/2#, the y-intercept is #-4#, and the x-intercept is #8#.

Explanation:

When a linear equation is in the form #y = mx + b#, the slope is #m#. In this case, the slope is the coefficient of #x# which is #1/2#.

To find the y-intercept, substitute #0# for #x#:
#y = 1/2*0 -4#
#y = -4#
The y-intercept is #-4#.

To find the x-intercept, substitute #0# for #y#:
#0 = 1/2x -4#
#1/2x = 4#
#x = 8#
The x-intercept is #8#.