Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.6 Parametric Equations, Graphs, and Applications - 8.6 Exercises - Page 400: 48

$y = m~t-m~x_1+y_1$ $x=t$ where $-\infty \lt t \lt \infty$ $x =\frac{t - y_1+m~x_1}{m}$ $y=t$ where $-\infty \lt t \lt \infty$

$y - y_1 = m~(x-x_1)$ We can make one parametric representation as follows: $y - y_1 = m~(x-x_1)$ $y = m~x-m~x_1+y_1$ Let $~~y = m~t-m~x_1+y_1$ $x=t$ where $-\infty \lt t \lt \infty$ We can make another parametric representation as follows: $m~x = y - y_1+m~x_1$ $x =\frac{y - y_1+m~x_1}{m}$ Let $~~x =\frac{t - y_1+m~x_1}{m}$ $y=t$ where $-\infty \lt t \lt \infty$