Question

Write an equation in slope-intercept form of the line with the given parametric equations.

Answer 1

Answer:

$y = \frac{9}{8}\cdot x -\frac{3}{8}$

Step-by-step explanation:

The parametric equations are described below:

$x = 8\cdot t + 3$ and $y = 9\cdot t + 3$

The slope-intercept equation is constructed by eliminating t from both formulae:

$t = \frac{x-3}{8}$ and $t = \frac{y-3}{9}$

$\frac{x-3}{8} = \frac{y-3}{9}$

$9\cdot (x-3) = 8\cdot (y-3)$

$9\cdot x - 27 = 8\cdot y -24$

$9\cdot x -3 = 8\cdot y$

$y = \frac{9}{8}\cdot x -\frac{3}{8}$