Answer:
y= -2x-3
Explanation:
Using the slope intercept form we have to first find the gradient of the line.
m=(y₂-y₁)/(x₂-x₁)
y₁=5
y₂=-9
x₁=-4
x₂=3
Therefore, m= (-9-5)/(3--4)
=-2
Therefore if we pick any point on the line, say, (-4,5) we obtain the same slope.
(y-5)/(x--4)=-2
(y-5)/(x+4)=-2
y-5=-2(x+4)
y-5=-2x-8
y= -2x-3
Thus the equation of the line in the slope intercept form is: y= -2x-3