Respuesta :

Explanation:

x + 3y = 2

Converting it to slope intercept form:

y = mx + b  [where m is slope, b is y-intercept]

Make y the subject:

[tex]\sf \rightarrow 3y = 2 - x[/tex]

[tex]\sf \rightarrow 3y = -x + 2[/tex]

[tex]\sf \rightarrow y = -\dfrac{x}{3} + \dfrac{2}{3}[/tex]

[tex]\sf \rightarrow y = -\dfrac{1}{3} x+ \dfrac{2}{3}[/tex]

which reveals slope:

[tex]\star \ slope: \sf - \dfrac{1}{3}[/tex]

Answer:

slope = - [tex]\frac{1}{3}[/tex]

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 )

given

x + 3y = 2 ( subtract x from both sides )

3y = - x + 2 ( divide all terms by 3 )

y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{2}{3}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{1}{3}[/tex]