We want to know the equation of the line with the data given:
[tex]\begin{gathered} m=\frac{5}{6} \\ b=-\frac{9}{4} \end{gathered}[/tex]In slope intercept form. In general, the slope intercept form is given by:
[tex]y=mx+b[/tex]where m represents the slope, and b the y-intercept. In this case, we just have to replace the values onto the formula and obtain the equation:
[tex]y=\frac{5}{6}x-\frac{9}{4}[/tex]Now, assuming that p and o represent the values of slope and y-intercept of another line, we get that the corresponding equation will be:
[tex]y=\frac{7}{9}x+4[/tex]