Write an equation for the line parallel to y = 2/3 x + 5 , passing through the point (3, 2).

y=2/3x+5

Step-by-step explanation:y

=

2

3

x

+

5

Using the slope-intercept form, the slope is  

2

3

.

m

=

2

3

To find an equation that is parallel to  

y

=

2

3

x

+

5

, the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.

(

0

,

0

)

m

=

2

3

Using the point-slope form  

y

−

y

1

=

m

(

x

−

x

1

)

, plug in  

m

=

2

3

,  

x

1

=

0

, and  

y

1

=

0

.

y

−

(

0

)

=

(

2

3

)

(

x

−

(

0

)

)

Solve for  

y

.

y

=

2

3

x

146%

step-by-step explanation: