Respuesta :

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope intercept- form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3y - x = 10 into this form

Add x to both sides

3y = x + 10 ( divide all terms by 3 )

y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{10}{3}[/tex] ← in slope- intercept form

Answer:

y= -1/3 (slope) + 10/3  (y-intersect)

Step-by-step explanation:

The slope Intersect form is y=mx+b, where m is the slope and b is the y-intersect

Subtract x from both sides of the equation

3y= 10-x

Divide each term by 3 and simplify

y= 10/3 - x/3

Reorder 10/3 and x/3 like this:

-x/3 + 10/3

Rewrite in slope-intersect form:

y= -1/3 (slope) + 10/3  (y-intersect)= is the answer!