How do you write an equation in slope-intercept form of the line that passes through the points (-6,5) and (1,0)?

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Answer 1 · 2016-12-01T01:48:49

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Given line is passing through points #(-6,5) & (0,1)#.

First we find slope #(m)# of the line passing through above two points.

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

= #(1 - 5)/ {0 - (-6)}#

= #-4 / 6# = #-2 / 3#

Now standard form of slope intercept form of line is :

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

#( y - 5) = -2/3 {x - (-6)}#

#(y -5) = -2/3 (x + 6)#

#(y - 5) = (-2/3) x - 12/3#

#y - 5 = (-2/3) x - 4#

#y = (-2/3) x - 4 + 5#

#y = (-2/3) x +1#