consider the following parametric equations:\n\n$x = \\frac{4t - 15}{2}$ and $y = 3 - t$\n\nstep 2 of 2…

consider the following parametric equations:\n\n$x = \\frac{4t - 15}{2}$ and $y = 3 - t$\n\nstep 2 of 2 : plot the points that result from the integer $t$-values from zero to five on the graph. round the $x$- and $y$-coordinates of each point to one decimal place, if necessary.

consider the following parametric equations:\n\n$x = \\frac{4t - 15}{2}$ and $y = 3 - t$\n\nstep 2 of 2 : plot the points that result from the integer $t$-values from zero to five on the graph. round the $x$- and $y$-coordinates of each point to one decimal place, if necessary.

Answer

Explanation:

Step1: Find (x) and (y) for (t = 0)

Substitute (t=0) into (x=\frac{4t - 15}{2}) and (y = 3-t). For (x): (x=\frac{4\times0-15}{2}=\frac{- 15}{2}=-7.5) For (y): (y=3 - 0=3)

Step2: Find (x) and (y) for (t = 1)

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

Step3: Find (x) and (y) for (t = 2)

Substitute (t = 2) into (x=\frac{4t - 15}{2}) and (y = 3-t). For (x): (x=\frac{4\times2-15}{2}=\frac{8 - 15}{2}=\frac{-7}{2}=-3.5) For (y): (y=3 - 2=1)

Step4: Find (x) and (y) for (t = 3)

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

Step5: Find (x) and (y) for (t = 4)

Substitute (t = 4) into (x=\frac{4t - 15}{2}) and (y = 3-t). For (x): (x=\frac{4\times4-15}{2}=\frac{16 - 15}{2}=0.5) For (y): (y=3 - 4=-1)

Step6: Find (x) and (y) for (t = 5)

Substitute (t = 5) into (x=\frac{4t - 15}{2}) and (y = 3-t). For (x): (x=\frac{4\times5-15}{2}=\frac{20 - 15}{2}=2.5) For (y): (y=3 - 5=-2)

Answer:

The points are ((-7.5,3)), ((-5.5,2)), ((-3.5,1)), ((-1.5,0)), ((0.5,-1)), ((2.5,-2))