Question

Write the slop intercept form of the equations below.

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

Answer 1

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

Answer 2

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 :-

`:\implies` y = mx + c

`:\implies` y = 1/4 x + 4

`:\implies` 4y = x + 16

`:\implies` x - 4y + 16 = 0

Solution 2 :-

`:\implies` y - 5 = -4( x +1)

`:\implies` y -5 = -4x -4

`:\implies` y = -4x +1