The correct option is D
What is equation of a line?
'The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.'
What is slope of a line?
'The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.'
According to the given problem,
The points given are:
(-8 , 4) = [tex](x_{1},y_{1})[/tex]
(3 , -5) = [tex](x_{2},y_{2} )[/tex]
Therefore, slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
= [tex]\frac{-5-4}{3+8}[/tex]
= [tex]-\frac{9}{11}[/tex]
Point slope formula:
[tex]y-y_{1} = m(x-x_{1} )[/tex]
⇒ y - 4 = [tex]\frac{9}{11}[/tex]( x + 8 )
Hence, we can conclude that option D is the correct equation for that line.
Learn more about equation of a line and slope here:
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