Question

consider the following parametric equations:

$x = \frac{4t - 15}{2}$ and $y = 3 - t$

step 1 of 2: complete the table using the parametric equations given above. enter the points $(x,y)$ that result from the $t$-values 1 and 3. please enter your answer as a fraction or a decimal number rounded to two decimal places.

Explanation:

Step1: Substitute \(t = 1\) into the parametric equations

For \(x\): \(x=\frac{4\times1 - 15}{2}=\frac{4 - 15}{2}=\frac{- 11}{2}=-5.5\)
For \(y\): \(y = 3-1=2\)

Step2: Substitute \(t = 3\) into the parametric equations

For \(x\): \(x=\frac{4\times3 - 15}{2}=\frac{12 - 15}{2}=\frac{-3}{2}=-1.5\)
For \(y\): \(y = 3 - 3=0\)

Answer:

When \(t = 1\), the point is \((-5.5,2)\); when \(t = 3\), the point is \((-1.5,0)\)