Write the slope intercept form of the equation of the line through the given points.through: (-3,4) and (0,-5)

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03-11-2022
Mathematics

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Write the slope intercept form of the equation of the line through the given points.through: (-3,4) and (0,-5)

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DavariE359843 DavariE359843 · Answer 1 · 2022-11-03T18:20:26-04:00

DavariE359843 DavariE359843

03-11-2022

The equation of a line that passes through two points is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Plugging the values of the points given we have:

[tex]\begin{gathered} y-4=\frac{-5-4}{0-(-3)}(x-(-3)) \\ y-4=\frac{-9}{3}(x+3) \\ y-4=-3(x+3) \\ y-4=-3x-9 \\ y=-3x-9+4 \\ y=-3x-5 \end{gathered}[/tex]

Therefore, the equation of the line is:

[tex]y=-3x-5[/tex]

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