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use the given condition to write an equation for the line in point-slope form and slope-inercept form. slope=-5, passing through (-3,-4)

Answer :

Given:

The slope of the line = -5

The line passing through the point (-3,-4)

The general point-slope form is:

[tex]y-k=m\cdot(x-h)[/tex]

where: m is the slope and the point is (h,k)

So,

[tex]\begin{gathered} m=-5 \\ (h,k)=(-3,-4) \end{gathered}[/tex]

So, the equation of the line will be:

[tex]\begin{gathered} y-(-4)=-5\cdot(x-(-3)) \\ \\ y+4=-5(x+3) \end{gathered}[/tex]

so, the answer will be:

[tex]y+4=-5(x+3)[/tex]

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