Question

The equation of KL is y+3= 2/3 (x-6) . Rewrite the equation of the line in slope-intercept form

Answer 1

First, subtract 3 from both sides, and then distribute the 2/3.

y=2/3x-4-3, y=2/3x-7

Answer 2

The slope-intercept form of KL is
`y=(2)/(3)(x)-7`.

Explanation:

The slope intercept form of a line is

`y=mx+b`

Where, m is slope and b is y-intercept.

The given equation of KL is

`y+3=(2)/(3)(x-6)`

Using distributive property,

`y+3=(2)/(3)(x)+(2)/(3)(-6)`

`y+3=(2)/(3)(x)-4`

Subtract 3 from both the sides.

`y=(2)/(3)(x)-4-3`

`y=(2)/(3)(x)-7`

Therefore the slope-intercept form of KL is
`y=(2)/(3)(x)-7`.