Respuesta :

The standard form of equation with slope -4 passing through point (6,8) is:

4x+y=32

Step-by-step explanation:

Given

m= -4

Point (6,8)

Slope intercept-form of equation is:

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

Putting m=-4

[tex]y=-4x+b[/tex]

To find the value of b, put (6,8) in the equation

[tex]8=-4(6)+b\\8=-24+b\\b=8+24\\b=32[/tex]

Putting the values of b and m we get

[tex]y=-4x+32[/tex]

Adding 4x on both sides

[tex]4x+y=-4x+4x+32\\4x+y=32[/tex]

The standard form of equation with slope -4 passing through point (6,8) is:

4x+y=32

Keywords: Equation of line, Slope

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