How do you write a equation in slope intercept form of the line passing through the given points (0,3) , (5,-3)?

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Answer 1 · 2016-07-21T13:27:55

#y=-6/5x-3#

The slope-intercept form of the equation of the line is #y=mx+b#
where #m=# slope and #b=# the y intercept

Using the points (0,3) and (5,-3)

#m=(y_2-y_1)/(x_2-x_1)#

#x_1=0#
#y_1=3#
#x_2=-5#
#y_2=-3#

#m = (-3-3)/(5-0)#

#m = (-6)/(5)#

#m=-6/5#

Now use the point slope formula to solve for the equation of the line.

#(y-y_1)=m(x-x_1)#

#m=-6/5#
#x_1=5#
#y_1=-3#

#(y-y_1)=m(x-x_1)#

#(y-(-3))=--6/5(x-5)#

#y+3=-6/5x+6#

#y cancel(+3) cancel(-3)=-6/5x+6 -3#

#y=-6/5x-3#