given-the-parametric-equations-x4t1x-4t-1-and-y2t5y-2t-5-for-tt-in-the-range-wha

Question

Given the parametric equations $x = 4t + 1$ and $y = 2t - 5$ for $t$ $\in$ $(-∞, ∞)$ , what is the rectangular equation that represents this curve? Graph the curve.

Accepted Answer

Graph of parametric equations x=4t+1 and y=2t-5, showing a straight line.

$y = \frac{x}{2} - \frac{11}{2}$

Answer

Graph of parametric equations x=4t+1 and y=2t-5, showing a straight line.

$y = \frac{x}{2} - \frac{11}{2}$

Answer

Graph of parametric equations x=4t+1 and y=2t-5, showing a straight line.

$y = \frac{x}{2} - \frac{11}{2}$

Answer

Graph of parametric equations x=4t+1 and y=2t-5, showing a straight line.

$y = \frac{x}{2} - \frac{11}{2}$

Given the parametric equations ﻿x=4t+1x = 4t + 1x=4t+1﻿ and ﻿y=2t−5y = 2t - 5y=2t−5﻿ for ﻿ttt﻿ ∈\in ﻿(−∞,∞)(-∞, ∞)(−∞,∞)﻿, what is the rectangular equation that represents this curve? Graph the curve.

Given the parametric equations $x = 4t + 1$ and $y = 2t - 5$ for $t$ $\in$ $(-∞, ∞)$ , what is the rectangular equation that represents this curve? Graph the curve.