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

1 Answer
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