Answer:
y = 2(x + 3) + (-2) is the required equation.
Step-by-step explanation:
Here the given points are A( -1,2) and B(-3-2)
Now, slope of the equation = [tex]\frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 -2}{-3-(-1)} = \frac{-4}{-2} = 2[/tex]
Hence, the slope of the equation is m = 2
Now, by POINT SLOPE FORMULA:
The equation of a line with slope m and point (x0, y0) is given as
(y - y0) = m (x -x0)
So, here the equation of line with (-3, -2) is
y - (-2) = 2 (x - (-3))
or, y + 2 = 2(x + 3)
⇒ y = 2(x + 3) + (-2) is the required equation.
