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24-06-2022
Mathematics

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What is the equation of the line that has a slope of -4 and passes through the point (2, 3)?

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iashwin2002osxh2c iashwin2002osxh2c

24-06-2022

If [tex]m=-4[/tex]

and a point is [tex](2,3)[/tex]

[tex]y=mx+b[/tex]

[tex]3=(-4)(2)+b[/tex] using the point and the slope

[tex]3=-8+b[/tex]

[tex]b=8+3[/tex]

[tex]b=11[/tex]

Therefore, the equation of the line will be [tex]y=-4x+11[/tex]

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