Answer:
[tex]y = - 2x - 4[/tex]
Step-by-step explanation:
Slope intercept eqn:
[tex]y - y1 = m(x - x1)[/tex]
P = (-4,4) and Q = (-3,2)
Let (x1, y1) = (-4,4) and (x2, y2) = (-3,2).
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{ 2 - 4}{ - 3 - ( - 4)} = \frac{ - 2}{1} = - 2[/tex]
Therefore the equation of the line in slope-intercept form :
[tex]y - 4 = - 2(x - ( - 4)) \\ y - 4 = - 2(x + 4) \\ y - 4 = - 2x - 8 \\ y = - 2x - 8 + 4 \\ y = - 2x - 4[/tex]
