What is the slope-intercept form of the line passing through # (-3, -5) # and # (0, 6) #?

1 Answer
Binayaka C.
Jan 28, 2016

The Slope intercept form of the line is #y=11/3*x+6#

Explanation:

The Slope of the line is #(y_2-y_1)/(x_2-x_1) or (6+5)/(0+3) or 11/3#
The line passes through (0,6) So the equation of the line is#y-6=11/3*(x-0) or y=11/3*x+6# Here the y-intercept is 6. We can also find the x-intercept by putting y=0 in the equation . Then # 0= 11/3*x +6 or 11/3*x = -6 or x = -18/11# So x- intercept is# -18/11 [answer]# graph{11/3*x+6 [-20, 20, -10.42, 10.42]}

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