An x-intercept of 3 → ( 3 , 0 ) is a point on the line A y-intercept of (-2) → ( 0 , − 2 ) is a point on the line The slope of the line is given by m = Δ y Δ x = 0 − ( − 2 ) 3 − 0 = 2 3 The slope-intercept form of the equation of a line is y = m x + b

where m is the slope and b is the y-intercept. Therefore the equation of this line can be written as y = 2 3 x − 2 If you want to “clear” the fraction this could be re-written as 3 y = 2 x − 6

Answer:Step-by-step explanation:An x-intercept of 3

→

(

3

,

0

)

is a point on the line

A y-intercept of (-2)

→

(

0

,

−

2

)

is a point on the line

The slope of the line is given by

m

=

Δ

y

Δ

x

=

0

−

(

−

2

)

3

−

0

=

2

3

The slope-intercept form of the equation of a line is

y

=

m

x

+

b

where

m

is the slope and

b

is the y-intercept.

Therefore the equation of this line can be written as

y

=

2

3

x

−

2

If you want to “clear” the fraction this could be re-written as

3

y

=

2

x

−

6