select the curve represented by the parametric equation indicate the orientation of the curve.x=4-5ty=5+4t

Sagot :

Multiply both sides of the first equation by 4.

[tex]4x=16-20t[/tex]

Multiply both sides of the second equation by 5.

[tex]5y=25+20t[/tex]

Add the obtained equations.

[tex]4x+5y=41[/tex]

Identify the y-intercept of the linear equation. Substitute 0 to the value of x and then solve for y.

[tex]\begin{gathered} 4(0)+5y=41 \\ 5y=41 \\ y=\frac{41}{5} \\ y=8.2 \end{gathered}[/tex]

Thus, the y-intercept is (0,8.2).

Therefore, the graph whose y-intercept is (0,8.2) and whose x-intercept is (10.25,0) is the graph that represents the parametric equations.

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