Given:
[tex]2x+3y=1[/tex]
Find-: Slope intercept form.
Sol:
General equation of the slope-intercept form.
[tex]y=mx+c[/tex]
Where,
[tex]\begin{gathered} m=\text{ Slope} \\ c=\text{ Intercept} \end{gathered}[/tex]
Convert the equation into the slope-intercept form:
[tex]\begin{gathered} 2x+3y=1 \\ 3y=1-2x \\ 3y=-2x+1 \\ y=\frac{-2x+1}{3} \\ y=\frac{-2}{3}x+\frac{1}{3} \end{gathered}[/tex]
Where,
[tex]\begin{gathered} \text{ Slope = }\frac{-2}{3} \\ \text{ Intercept = }\frac{1}{3} \end{gathered}[/tex]
