How do you write the equation in slope intercept form given #y-(-4)=-1(x-6)#?

1 Answer
Alan P.
Apr 28, 2016

#y=(-1)x+2#

Explanation:

Remember that the general slope-intercept form is
#color(white)("XXX")y=color(green)(m)x+color(red)(b)#
for a line with slope #color(green)(m)# and y-intercept #color(red)(b)#

Given
#color(white)("XXX")y-(-4)=-1(x-6)#

Add #(-4)# to both sides to isolate the #y# on the left side
#color(white)("XXX")y=-1(x-6)+(-4)#

Simplify the right side
#color(white)("XXX")y=-x+6-4#

#color(white)("XXX")y=color(green)(""(-1))x+color(red)(2)#
which is the slope-intercept form
for a line with slope #color(green)(""(-1))# and y-intercept #color(red)(2)#

Here is the graph of the original equation which supports our conclusion:
graph{y-(-4)=-1(x-6) [-4.27, 8.214, -2.124, 4.116]}

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