How do you solve this URGENT (50pts)
![How do you solve this URGENT 50pts class=](https://us-static.z-dn.net/files/d2e/b0427c03e073fead96aee153cd8796ee.png)
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]