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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