kgin4758 kgin4758

10-02-2022
Mathematics

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What is the equation of the line that passes through the point (−4,−7) and has a slope of 3/2

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nktselepov nktselepov

10-02-2022

General equation of linear function:

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

point (−4,−7);

[tex]x=-4, y=-7, \text{slope}=\dfrac{3}{2} =1,5[/tex]

[tex]-7=1,5\times(-4)+b\\-7=-6+b\\b=-1[/tex]

Ans:

[tex]y=\dfrac{3}{2} x-1 \:\text{or}\:y=1,5x-1[/tex]

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