What is the equation of the line through points (-2, -1) and (2, -6)?

1 Answer
TK02
May 10, 2018

#y = -5/4(x) -7/2#

Explanation:

Given #A(x_1, y_1) and B(x_2, y_2)#. The gradient of a line is given by #(Deltay)/(Deltax)# which is usually donated by #m#.
So, #m = (Deltay)/(Deltax) = (y_2 - y_1)/(x_2 - x_1)#

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

#m = (-6- (-1))/(2 -(-2))#

#m = -5/4#

Now generally line equation is written in the form #y=mx+c#.
From above any of the 2 coordinates can be taken into consideration,
Hence,
# -6 = -5/4 (2) + c#

# -6 + 5/2 = c#

Our y-intercept is #-7/2#

Therefore our equation is
#y = -5/4(x) -7/2#

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