Answer:
[tex]y = \frac{9}{8}\cdot x -\frac{3}{8}[/tex]
Step-by-step explanation:
The parametric equations are described below:
[tex]x = 8\cdot t + 3[/tex] and [tex]y = 9\cdot t + 3[/tex]
The slope-intercept equation is constructed by eliminating t from both formulae:
[tex]t = \frac{x-3}{8}[/tex] and [tex]t = \frac{y-3}{9}[/tex]
[tex]\frac{x-3}{8} = \frac{y-3}{9}[/tex]
[tex]9\cdot (x-3) = 8\cdot (y-3)[/tex]
[tex]9\cdot x - 27 = 8\cdot y -24[/tex]
[tex]9\cdot x -3 = 8\cdot y[/tex]
[tex]y = \frac{9}{8}\cdot x -\frac{3}{8}[/tex]
