What is the equation of the line passing through #(-2,-1)# and #(-21,7)#?

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Answer 1 · 2017-09-07T10:42:56

The equation of line is # 8x+19y = -35 #

The slope of a line passing through two points

# (x_1,y_1) and (x_2,y_2) # is #m= (y_2-y_1)/(x_2-x_1) #

The slope of a line passing through two points

# (-2,-1) and (-21,7) # is #m= (7+1)/(-21+2)= -8/19#

The equation of line passing through point #(x_1,y_1)# is

# y-y_1= m (x-x_1) :.# The equation of line passing through point

#(-2,-1)# is # y+1= -8/19 (x+2) or 19y+19 =-8x-16# or

# 8x+19y = -35 # [Ans]