Answer
$y=2x+3$
Work Step by Step
Using one of the parametric equations, express t in terms of one variable:
$x=2t-5$
$x+5=2t$
$t=\displaystyle \frac{x+5}{2}$
Substitute it into the other equation.
$y=4t-7$
$y=4(\displaystyle \frac{x+5}{2})-7$
$y=2(x+5)-7$
$y=2x+10-7 $
$y=2x+3$
To graph, create a function value table using values for t, in ascending order of t, calculating the x- and y-coordinates of points on the graph.
Plot and join the points obtained with a smooth curve, noting the direction in which t increases.
