Question

Write the slope-intercept form of the equation of each line

1. x-3y = 6

2. 4x-y = 1

3. 6x+5y = -15

4. 13x- 11y =-12

Answer 1

1. y =
   `(1)/(3)`x - 2
2. y = 4x - 1
3. y = -
   `(6)/(5)`x - 3
4. y =
   `(13)/(11)` +
   `(12)/(11)`

Explanation:

The slope-intercept form is y = mx + b, where m represents the slope and b represents the intercept.

x - 3y = 6

3y = x - 6

y =
`(1)/(3)`x - 2

4x - y = 1

y = 4x - 1

6x + 5y = -15

5y = -6x - 15

y = -
`(6)/(5)`x - 3

13x - 11y = -12

11y = 13x + 12

y =
`(13)/(11)` +
`(12)/(11)`