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write the slop intercept form of the equations below.

1. slope= 1/4,y intercept = 4
2. y-5=-4(x+1)

Answer :

1 is y=1/4x+4
2 is y=x+1

Step-by-step explanation:

Given :-

  • 1. slope= 1/4,y intercept = 4
  • 2. y-5=-4(x+1)

And we need to find the slope intercept form of the line . The slope intercept form of a line is y = mx + c , where m is the slope and c is the y intercept. Substitute respective values ,

Solution 1 :-

[tex]:\implies[/tex] y = mx + c

[tex]:\implies[/tex] y = 1/4 x + 4

[tex]:\implies[/tex] 4y = x + 16

[tex]:\implies[/tex] x - 4y + 16 = 0

Solution 2 :-

[tex]:\implies[/tex] y - 5 = -4( x +1)

[tex]:\implies[/tex] y -5 = -4x -4

[tex]:\implies[/tex] y = -4x +1

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