(i) We have given an equation x + 7y = 0, which can be written in the form
⇒ 7y = - x ⇒ y = −

1

7

x + 0 ... (1)
Also, the slope intercept form is y = mx + c ... (2)
On comparing (1) and (2), we get m = −

1

7

, c = 0
Hence the slope is −

1

7

and the y-intercept = 0.
(ii) We have given an equation 6x + 3y – 5 = 0, which can be written in the form 3y = – 6x + 5 ⇒ y = − 2x +

5

3

... (1)
Also, the slope intercept form is y = mx + c ... (2)
On comparing (1) and (2), we get m = − 2 and c =

5

3

i.e. slope = – 2 and the y-intercept =

5

3

(iii) We have given an equation y = 0
⇒ y = 0.x + 0 ... (1)
Also, the slope intercept form is y = mx + c ... (2)
On comparing (1) and (2), we get m = 0, c = 0.
Hence, slope is 0 and the y-intercept is 0.