What is the slope-intercept form of the line passing through # (0, 6) # and # (5, 4) #?

1 Answer
Binayaka C.
Jul 5, 2016

The equation of line in slope intercept form is #y = -2/5*x+6#

Explanation:

The slope of the line passing through #(0,6) and (5,4)# is #m=(y_2-y_1)/(x_2-x_1) = (4-6)/(5-0)= -2/5#
Let the equation of the line be #y=mx+c# Since the line passes through #(0,6)#, it will satisfy the equation #:.6= (-2/5)*0+c or c=6 :.#The equation of line is #y= -2/5*x+6# graph{-(2/5)*x+6 [-20, 20, -10, 10]} [Ans]

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